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Simplifying 10(-2x + 3) + -5 = -5(-2x + -4) + 12 Reorder the terms: 10(3 + -2x) + -5 = -5(-2x + -4) + 12 (3 * 10 + -2x * 10) + -5 = -5(-2x + -4) + 12 (30 + -20x) + -5 = -5(-2x + -4) + 12 Reorder the terms: 30 + -5 + -20x = -5(-2x + -4) + 12 Combine like terms: 30 + -5 = 25 25 + -20x = -5(-2x + -4) + 12 Reorder the terms: 25 + -20x = -5(-4 + -2x) + 12 25 + -20x = (-4 * -5 + -2x * -5) + 12 25 + -20x = (20 + 10x) + 12 Reorder the terms: 25 + -20x = 20 + 12 + 10x Combine like terms: 20 + 12 = 32 25 + -20x = 32 + 10x Solving 25 + -20x = 32 + 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. 25 + -20x + -10x = 32 + 10x + -10x Combine like terms: -20x + -10x = -30x 25 + -30x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + -30x = 32 + 0 25 + -30x = 32 Add '-25' to each side of the equation. 25 + -25 + -30x = 32 + -25 Combine like terms: 25 + -25 = 0 0 + -30x = 32 + -25 -30x = 32 + -25 Combine like terms: 32 + -25 = 7 -30x = 7 Divide each side by '-30'. x = -0.2333333333 Simplifying x = -0.2333333333
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