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Simplifying 5(3 + -4x) = 4(6 + -7x) (3 * 5 + -4x * 5) = 4(6 + -7x) (15 + -20x) = 4(6 + -7x) 15 + -20x = (6 * 4 + -7x * 4) 15 + -20x = (24 + -28x) Solving 15 + -20x = 24 + -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 + -20x + 28x = 24 + -28x + 28x Combine like terms: -20x + 28x = 8x 15 + 8x = 24 + -28x + 28x Combine like terms: -28x + 28x = 0 15 + 8x = 24 + 0 15 + 8x = 24 Add '-15' to each side of the equation. 15 + -15 + 8x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 24 + -15 8x = 24 + -15 Combine like terms: 24 + -15 = 9 8x = 9 Divide each side by '8'. x = 1.125 Simplifying x = 1.125
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