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Simplifying 5(3x + 3) = 4(5x + -3) Reorder the terms: 5(3 + 3x) = 4(5x + -3) (3 * 5 + 3x * 5) = 4(5x + -3) (15 + 15x) = 4(5x + -3) Reorder the terms: 15 + 15x = 4(-3 + 5x) 15 + 15x = (-3 * 4 + 5x * 4) 15 + 15x = (-12 + 20x) Solving 15 + 15x = -12 + 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. 15 + 15x + -20x = -12 + 20x + -20x Combine like terms: 15x + -20x = -5x 15 + -5x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + -5x = -12 + 0 15 + -5x = -12 Add '-15' to each side of the equation. 15 + -15 + -5x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -12 + -15 -5x = -12 + -15 Combine like terms: -12 + -15 = -27 -5x = -27 Divide each side by '-5'. x = 5.4 Simplifying x = 5.4
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