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Simplifying 5(3x + 2) = 4(5x + 5) Reorder the terms: 5(2 + 3x) = 4(5x + 5) (2 * 5 + 3x * 5) = 4(5x + 5) (10 + 15x) = 4(5x + 5) Reorder the terms: 10 + 15x = 4(5 + 5x) 10 + 15x = (5 * 4 + 5x * 4) 10 + 15x = (20 + 20x) Solving 10 + 15x = 20 + 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. 10 + 15x + -20x = 20 + 20x + -20x Combine like terms: 15x + -20x = -5x 10 + -5x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + -5x = 20 + 0 10 + -5x = 20 Add '-10' to each side of the equation. 10 + -10 + -5x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 20 + -10 -5x = 20 + -10 Combine like terms: 20 + -10 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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