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Simplifying 5(4 + -3x) = 7(3 + -4x) (4 * 5 + -3x * 5) = 7(3 + -4x) (20 + -15x) = 7(3 + -4x) 20 + -15x = (3 * 7 + -4x * 7) 20 + -15x = (21 + -28x) Solving 20 + -15x = 21 + -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. 20 + -15x + 28x = 21 + -28x + 28x Combine like terms: -15x + 28x = 13x 20 + 13x = 21 + -28x + 28x Combine like terms: -28x + 28x = 0 20 + 13x = 21 + 0 20 + 13x = 21 Add '-20' to each side of the equation. 20 + -20 + 13x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 21 + -20 13x = 21 + -20 Combine like terms: 21 + -20 = 1 13x = 1 Divide each side by '13'. x = 0.07692307692 Simplifying x = 0.07692307692
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