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Simplifying 22 = 2l(3x + 1) + 2w(5x + -6) Reorder the terms: 22 = 2l(1 + 3x) + 2w(5x + -6) 22 = (1 * 2l + 3x * 2l) + 2w(5x + -6) 22 = (2l + 6lx) + 2w(5x + -6) Reorder the terms: 22 = 2l + 6lx + 2w(-6 + 5x) 22 = 2l + 6lx + (-6 * 2w + 5x * 2w) 22 = 2l + 6lx + (-12w + 10wx) Solving 22 = 2l + 6lx + -12w + 10wx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2l' to each side of the equation. 22 + -2l = 2l + 6lx + -12w + -2l + 10wx Reorder the terms: 22 + -2l = 2l + -2l + 6lx + -12w + 10wx Combine like terms: 2l + -2l = 0 22 + -2l = 0 + 6lx + -12w + 10wx 22 + -2l = 6lx + -12w + 10wx Add '-6lx' to each side of the equation. 22 + -2l + -6lx = 6lx + -12w + -6lx + 10wx Reorder the terms: 22 + -2l + -6lx = 6lx + -6lx + -12w + 10wx Combine like terms: 6lx + -6lx = 0 22 + -2l + -6lx = 0 + -12w + 10wx 22 + -2l + -6lx = -12w + 10wx Add '-22' to each side of the equation. 22 + -2l + -22 + -6lx = -12w + -22 + 10wx Reorder the terms: 22 + -22 + -2l + -6lx = -12w + -22 + 10wx Combine like terms: 22 + -22 = 0 0 + -2l + -6lx = -12w + -22 + 10wx -2l + -6lx = -12w + -22 + 10wx Reorder the terms: -2l + -6lx = -22 + -12w + 10wx Reorder the terms: 22 + -2l + -6lx + 12w + -10wx = -22 + -12w + 10wx + 22 + 12w + -10wx Reorder the terms: 22 + -2l + -6lx + 12w + -10wx = -22 + 22 + -12w + 12w + 10wx + -10wx Combine like terms: -22 + 22 = 0 22 + -2l + -6lx + 12w + -10wx = 0 + -12w + 12w + 10wx + -10wx 22 + -2l + -6lx + 12w + -10wx = -12w + 12w + 10wx + -10wx Combine like terms: -12w + 12w = 0 22 + -2l + -6lx + 12w + -10wx = 0 + 10wx + -10wx 22 + -2l + -6lx + 12w + -10wx = 10wx + -10wx Combine like terms: 10wx + -10wx = 0 22 + -2l + -6lx + 12w + -10wx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(11 + -1l + -3lx + 6w + -5wx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -1l + -3lx + 6w + -5wx)' equal to zero and attempt to solve: Simplifying 11 + -1l + -3lx + 6w + -5wx = 0 Solving 11 + -1l + -3lx + 6w + -5wx = 0 Move all terms containing l to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -1l + -3lx + 6w + -11 + -5wx = 0 + -11 Reorder the terms: 11 + -11 + -1l + -3lx + 6w + -5wx = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1l + -3lx + 6w + -5wx = 0 + -11 -1l + -3lx + 6w + -5wx = 0 + -11 Combine like terms: 0 + -11 = -11 -1l + -3lx + 6w + -5wx = -11 Add '-6w' to each side of the equation. -1l + -3lx + 6w + -6w + -5wx = -11 + -6w Combine like terms: 6w + -6w = 0 -1l + -3lx + 0 + -5wx = -11 + -6w -1l + -3lx + -5wx = -11 + -6w Add '5wx' to each side of the equation. -1l + -3lx + -5wx + 5wx = -11 + -6w + 5wx Combine like terms: -5wx + 5wx = 0 -1l + -3lx + 0 = -11 + -6w + 5wx -1l + -3lx = -11 + -6w + 5wx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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