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Simplifying 4(20 + -12x) = 2(5x + -4) + 2(3 + -1x) (20 * 4 + -12x * 4) = 2(5x + -4) + 2(3 + -1x) (80 + -48x) = 2(5x + -4) + 2(3 + -1x) Reorder the terms: 80 + -48x = 2(-4 + 5x) + 2(3 + -1x) 80 + -48x = (-4 * 2 + 5x * 2) + 2(3 + -1x) 80 + -48x = (-8 + 10x) + 2(3 + -1x) 80 + -48x = -8 + 10x + (3 * 2 + -1x * 2) 80 + -48x = -8 + 10x + (6 + -2x) Reorder the terms: 80 + -48x = -8 + 6 + 10x + -2x Combine like terms: -8 + 6 = -2 80 + -48x = -2 + 10x + -2x Combine like terms: 10x + -2x = 8x 80 + -48x = -2 + 8x Solving 80 + -48x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 80 + -48x + -8x = -2 + 8x + -8x Combine like terms: -48x + -8x = -56x 80 + -56x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 80 + -56x = -2 + 0 80 + -56x = -2 Add '-80' to each side of the equation. 80 + -80 + -56x = -2 + -80 Combine like terms: 80 + -80 = 0 0 + -56x = -2 + -80 -56x = -2 + -80 Combine like terms: -2 + -80 = -82 -56x = -82 Divide each side by '-56'. x = 1.464285714 Simplifying x = 1.464285714
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