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Simplifying 5(4x + 3) = 9(3x + -3) Reorder the terms: 5(3 + 4x) = 9(3x + -3) (3 * 5 + 4x * 5) = 9(3x + -3) (15 + 20x) = 9(3x + -3) Reorder the terms: 15 + 20x = 9(-3 + 3x) 15 + 20x = (-3 * 9 + 3x * 9) 15 + 20x = (-27 + 27x) Solving 15 + 20x = -27 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 15 + 20x + -27x = -27 + 27x + -27x Combine like terms: 20x + -27x = -7x 15 + -7x = -27 + 27x + -27x Combine like terms: 27x + -27x = 0 15 + -7x = -27 + 0 15 + -7x = -27 Add '-15' to each side of the equation. 15 + -15 + -7x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -27 + -15 -7x = -27 + -15 Combine like terms: -27 + -15 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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