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Simplifying 5(2x + 4) = 3(5x + 3) + 6 Reorder the terms: 5(4 + 2x) = 3(5x + 3) + 6 (4 * 5 + 2x * 5) = 3(5x + 3) + 6 (20 + 10x) = 3(5x + 3) + 6 Reorder the terms: 20 + 10x = 3(3 + 5x) + 6 20 + 10x = (3 * 3 + 5x * 3) + 6 20 + 10x = (9 + 15x) + 6 Reorder the terms: 20 + 10x = 9 + 6 + 15x Combine like terms: 9 + 6 = 15 20 + 10x = 15 + 15x Solving 20 + 10x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 10x + -15x = 15 + 15x + -15x Combine like terms: 10x + -15x = -5x 20 + -5x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -5x = 15 + 0 20 + -5x = 15 Add '-20' to each side of the equation. 20 + -20 + -5x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 15 + -20 -5x = 15 + -20 Combine like terms: 15 + -20 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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