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Simplifying -14 + 3(x + 10) = t(2x + 4) + x Reorder the terms: -14 + 3(10 + x) = t(2x + 4) + x -14 + (10 * 3 + x * 3) = t(2x + 4) + x -14 + (30 + 3x) = t(2x + 4) + x Combine like terms: -14 + 30 = 16 16 + 3x = t(2x + 4) + x Reorder the terms: 16 + 3x = t(4 + 2x) + x 16 + 3x = (4 * t + 2x * t) + x 16 + 3x = (4t + 2tx) + x Solving 16 + 3x = 4t + 2tx + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2tx' to each side of the equation. 16 + -2tx + 3x = 4t + 2tx + -2tx + x Combine like terms: 2tx + -2tx = 0 16 + -2tx + 3x = 4t + 0 + x 16 + -2tx + 3x = 4t + x Add '-1x' to each side of the equation. 16 + -2tx + 3x + -1x = 4t + x + -1x Combine like terms: 3x + -1x = 2x 16 + -2tx + 2x = 4t + x + -1x Combine like terms: x + -1x = 0 16 + -2tx + 2x = 4t + 0 16 + -2tx + 2x = 4t Add '-16' to each side of the equation. 16 + -2tx + -16 + 2x = -16 + 4t Reorder the terms: 16 + -16 + -2tx + 2x = -16 + 4t Combine like terms: 16 + -16 = 0 0 + -2tx + 2x = -16 + 4t -2tx + 2x = -16 + 4t Reorder the terms: 16 + -4t + -2tx + 2x = -16 + 4t + 16 + -4t Reorder the terms: 16 + -4t + -2tx + 2x = -16 + 16 + 4t + -4t Combine like terms: -16 + 16 = 0 16 + -4t + -2tx + 2x = 0 + 4t + -4t 16 + -4t + -2tx + 2x = 4t + -4t Combine like terms: 4t + -4t = 0 16 + -4t + -2tx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -2t + -1tx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -2t + -1tx + x)' equal to zero and attempt to solve: Simplifying 8 + -2t + -1tx + x = 0 Solving 8 + -2t + -1tx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2t + -1tx + -8 + x = 0 + -8 Reorder the terms: 8 + -8 + -2t + -1tx + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2t + -1tx + x = 0 + -8 -2t + -1tx + x = 0 + -8 Combine like terms: 0 + -8 = -8 -2t + -1tx + x = -8 Add '2t' to each side of the equation. -2t + -1tx + 2t + x = -8 + 2t Reorder the terms: -2t + 2t + -1tx + x = -8 + 2t Combine like terms: -2t + 2t = 0 0 + -1tx + x = -8 + 2t -1tx + x = -8 + 2t 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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