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Simplifying -1(x + 8) = 2(ax + 5) Reorder the terms: -1(8 + x) = 2(ax + 5) (8 * -1 + x * -1) = 2(ax + 5) (-8 + -1x) = 2(ax + 5) Reorder the terms: -8 + -1x = 2(5 + ax) -8 + -1x = (5 * 2 + ax * 2) -8 + -1x = (10 + 2ax) Solving -8 + -1x = 10 + 2ax Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2ax' to each side of the equation. -8 + -2ax + -1x = 10 + 2ax + -2ax Combine like terms: 2ax + -2ax = 0 -8 + -2ax + -1x = 10 + 0 -8 + -2ax + -1x = 10 Add '8' to each side of the equation. -8 + -2ax + 8 + -1x = 10 + 8 Reorder the terms: -8 + 8 + -2ax + -1x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2ax + -1x = 10 + 8 -2ax + -1x = 10 + 8 Combine like terms: 10 + 8 = 18 -2ax + -1x = 18 Reorder the terms: -18 + -2ax + -1x = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -2ax + -1x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 2ax + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(18 + 2ax + x)' equal to zero and attempt to solve: Simplifying 18 + 2ax + x = 0 Solving 18 + 2ax + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 2ax + -18 + x = 0 + -18 Reorder the terms: 18 + -18 + 2ax + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2ax + x = 0 + -18 2ax + x = 0 + -18 Combine like terms: 0 + -18 = -18 2ax + x = -18 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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