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Simplifying 6x + -1(5x + -5) = -8 + -2(x + 12) Reorder the terms: 6x + -1(-5 + 5x) = -8 + -2(x + 12) 6x + (-5 * -1 + 5x * -1) = -8 + -2(x + 12) 6x + (5 + -5x) = -8 + -2(x + 12) Reorder the terms: 5 + 6x + -5x = -8 + -2(x + 12) Combine like terms: 6x + -5x = 1x 5 + 1x = -8 + -2(x + 12) Reorder the terms: 5 + 1x = -8 + -2(12 + x) 5 + 1x = -8 + (12 * -2 + x * -2) 5 + 1x = -8 + (-24 + -2x) Combine like terms: -8 + -24 = -32 5 + 1x = -32 + -2x Solving 5 + 1x = -32 + -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. 5 + 1x + 2x = -32 + -2x + 2x Combine like terms: 1x + 2x = 3x 5 + 3x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 3x = -32 + 0 5 + 3x = -32 Add '-5' to each side of the equation. 5 + -5 + 3x = -32 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -32 + -5 3x = -32 + -5 Combine like terms: -32 + -5 = -37 3x = -37 Divide each side by '3'. x = -12.33333333 Simplifying x = -12.33333333
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