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Simplifying -5x + -2(-6 + 3x) = -1 + -6(x + -3) -5x + (-6 * -2 + 3x * -2) = -1 + -6(x + -3) -5x + (12 + -6x) = -1 + -6(x + -3) Reorder the terms: 12 + -5x + -6x = -1 + -6(x + -3) Combine like terms: -5x + -6x = -11x 12 + -11x = -1 + -6(x + -3) Reorder the terms: 12 + -11x = -1 + -6(-3 + x) 12 + -11x = -1 + (-3 * -6 + x * -6) 12 + -11x = -1 + (18 + -6x) Combine like terms: -1 + 18 = 17 12 + -11x = 17 + -6x Solving 12 + -11x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -11x + 6x = 17 + -6x + 6x Combine like terms: -11x + 6x = -5x 12 + -5x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -5x = 17 + 0 12 + -5x = 17 Add '-12' to each side of the equation. 12 + -12 + -5x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 17 + -12 -5x = 17 + -12 Combine like terms: 17 + -12 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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