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Simplifying 5(3 + -6x) + 20x = 7(2 + -4x) (3 * 5 + -6x * 5) + 20x = 7(2 + -4x) (15 + -30x) + 20x = 7(2 + -4x) Combine like terms: -30x + 20x = -10x 15 + -10x = 7(2 + -4x) 15 + -10x = (2 * 7 + -4x * 7) 15 + -10x = (14 + -28x) Solving 15 + -10x = 14 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 15 + -10x + 28x = 14 + -28x + 28x Combine like terms: -10x + 28x = 18x 15 + 18x = 14 + -28x + 28x Combine like terms: -28x + 28x = 0 15 + 18x = 14 + 0 15 + 18x = 14 Add '-15' to each side of the equation. 15 + -15 + 18x = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 18x = 14 + -15 18x = 14 + -15 Combine like terms: 14 + -15 = -1 18x = -1 Divide each side by '18'. x = -0.05555555556 Simplifying x = -0.05555555556
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