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Simplifying -8 + -2(x + 12) = 6x + -1(5x + 5) Reorder the terms: -8 + -2(12 + x) = 6x + -1(5x + 5) -8 + (12 * -2 + x * -2) = 6x + -1(5x + 5) -8 + (-24 + -2x) = 6x + -1(5x + 5) Combine like terms: -8 + -24 = -32 -32 + -2x = 6x + -1(5x + 5) Reorder the terms: -32 + -2x = 6x + -1(5 + 5x) -32 + -2x = 6x + (5 * -1 + 5x * -1) -32 + -2x = 6x + (-5 + -5x) Reorder the terms: -32 + -2x = -5 + 6x + -5x Combine like terms: 6x + -5x = 1x -32 + -2x = -5 + 1x Solving -32 + -2x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + -2x + -1x = -5 + 1x + -1x Combine like terms: -2x + -1x = -3x -32 + -3x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -32 + -3x = -5 + 0 -32 + -3x = -5 Add '32' to each side of the equation. -32 + 32 + -3x = -5 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = -5 + 32 -3x = -5 + 32 Combine like terms: -5 + 32 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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