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Simplifying 5(-3x + 4) = 4(-5x + 6) Reorder the terms: 5(4 + -3x) = 4(-5x + 6) (4 * 5 + -3x * 5) = 4(-5x + 6) (20 + -15x) = 4(-5x + 6) Reorder the terms: 20 + -15x = 4(6 + -5x) 20 + -15x = (6 * 4 + -5x * 4) 20 + -15x = (24 + -20x) Solving 20 + -15x = 24 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 20 + -15x + 20x = 24 + -20x + 20x Combine like terms: -15x + 20x = 5x 20 + 5x = 24 + -20x + 20x Combine like terms: -20x + 20x = 0 20 + 5x = 24 + 0 20 + 5x = 24 Add '-20' to each side of the equation. 20 + -20 + 5x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 24 + -20 5x = 24 + -20 Combine like terms: 24 + -20 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8
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