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Simplifying 4(3 + -3x) + -8 = 15 + -2(5x + 8) (3 * 4 + -3x * 4) + -8 = 15 + -2(5x + 8) (12 + -12x) + -8 = 15 + -2(5x + 8) Reorder the terms: 12 + -8 + -12x = 15 + -2(5x + 8) Combine like terms: 12 + -8 = 4 4 + -12x = 15 + -2(5x + 8) Reorder the terms: 4 + -12x = 15 + -2(8 + 5x) 4 + -12x = 15 + (8 * -2 + 5x * -2) 4 + -12x = 15 + (-16 + -10x) Combine like terms: 15 + -16 = -1 4 + -12x = -1 + -10x Solving 4 + -12x = -1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 4 + -12x + 10x = -1 + -10x + 10x Combine like terms: -12x + 10x = -2x 4 + -2x = -1 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + -2x = -1 + 0 4 + -2x = -1 Add '-4' to each side of the equation. 4 + -4 + -2x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -1 + -4 -2x = -1 + -4 Combine like terms: -1 + -4 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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