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Simplifying -1(x + -6) + -10 = 2(x + -5) + -5 Reorder the terms: -1(-6 + x) + -10 = 2(x + -5) + -5 (-6 * -1 + x * -1) + -10 = 2(x + -5) + -5 (6 + -1x) + -10 = 2(x + -5) + -5 Reorder the terms: 6 + -10 + -1x = 2(x + -5) + -5 Combine like terms: 6 + -10 = -4 -4 + -1x = 2(x + -5) + -5 Reorder the terms: -4 + -1x = 2(-5 + x) + -5 -4 + -1x = (-5 * 2 + x * 2) + -5 -4 + -1x = (-10 + 2x) + -5 Reorder the terms: -4 + -1x = -10 + -5 + 2x Combine like terms: -10 + -5 = -15 -4 + -1x = -15 + 2x Solving -4 + -1x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -1x + -2x = -15 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = -15 + 0 -4 + -3x = -15 Add '4' to each side of the equation. -4 + 4 + -3x = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -15 + 4 -3x = -15 + 4 Combine like terms: -15 + 4 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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