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Simplifying 4(3 + -3x) + -8x = 8 + -2(5x + 8) (3 * 4 + -3x * 4) + -8x = 8 + -2(5x + 8) (12 + -12x) + -8x = 8 + -2(5x + 8) Combine like terms: -12x + -8x = -20x 12 + -20x = 8 + -2(5x + 8) Reorder the terms: 12 + -20x = 8 + -2(8 + 5x) 12 + -20x = 8 + (8 * -2 + 5x * -2) 12 + -20x = 8 + (-16 + -10x) Combine like terms: 8 + -16 = -8 12 + -20x = -8 + -10x Solving 12 + -20x = -8 + -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. 12 + -20x + 10x = -8 + -10x + 10x Combine like terms: -20x + 10x = -10x 12 + -10x = -8 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + -10x = -8 + 0 12 + -10x = -8 Add '-12' to each side of the equation. 12 + -12 + -10x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -8 + -12 -10x = -8 + -12 Combine like terms: -8 + -12 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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