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Simplifying 4(3 + -1x) = 2(5 + 5x) (3 * 4 + -1x * 4) = 2(5 + 5x) (12 + -4x) = 2(5 + 5x) 12 + -4x = (5 * 2 + 5x * 2) 12 + -4x = (10 + 10x) Solving 12 + -4x = 10 + 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 + -4x + -10x = 10 + 10x + -10x Combine like terms: -4x + -10x = -14x 12 + -14x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -14x = 10 + 0 12 + -14x = 10 Add '-12' to each side of the equation. 12 + -12 + -14x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 10 + -12 -14x = 10 + -12 Combine like terms: 10 + -12 = -2 -14x = -2 Divide each side by '-14'. x = 0.1428571429 Simplifying x = 0.1428571429
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