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Simplifying -8(x + -3) + 12x = 15 + -1(2x + 3) Reorder the terms: -8(-3 + x) + 12x = 15 + -1(2x + 3) (-3 * -8 + x * -8) + 12x = 15 + -1(2x + 3) (24 + -8x) + 12x = 15 + -1(2x + 3) Combine like terms: -8x + 12x = 4x 24 + 4x = 15 + -1(2x + 3) Reorder the terms: 24 + 4x = 15 + -1(3 + 2x) 24 + 4x = 15 + (3 * -1 + 2x * -1) 24 + 4x = 15 + (-3 + -2x) Combine like terms: 15 + -3 = 12 24 + 4x = 12 + -2x Solving 24 + 4x = 12 + -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. 24 + 4x + 2x = 12 + -2x + 2x Combine like terms: 4x + 2x = 6x 24 + 6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 6x = 12 + 0 24 + 6x = 12 Add '-24' to each side of the equation. 24 + -24 + 6x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 12 + -24 6x = 12 + -24 Combine like terms: 12 + -24 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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