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Simplifying 3 + 2(x + -6) = -1x + 5(x + -1) Reorder the terms: 3 + 2(-6 + x) = -1x + 5(x + -1) 3 + (-6 * 2 + x * 2) = -1x + 5(x + -1) 3 + (-12 + 2x) = -1x + 5(x + -1) Combine like terms: 3 + -12 = -9 -9 + 2x = -1x + 5(x + -1) Reorder the terms: -9 + 2x = -1x + 5(-1 + x) -9 + 2x = -1x + (-1 * 5 + x * 5) -9 + 2x = -1x + (-5 + 5x) Reorder the terms: -9 + 2x = -5 + -1x + 5x Combine like terms: -1x + 5x = 4x -9 + 2x = -5 + 4x Solving -9 + 2x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 2x + -4x = -5 + 4x + -4x Combine like terms: 2x + -4x = -2x -9 + -2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -2x = -5 + 0 -9 + -2x = -5 Add '9' to each side of the equation. -9 + 9 + -2x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -5 + 9 -2x = -5 + 9 Combine like terms: -5 + 9 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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