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Simplifying 5(2x + 4) = 3(2x + 5) Reorder the terms: 5(4 + 2x) = 3(2x + 5) (4 * 5 + 2x * 5) = 3(2x + 5) (20 + 10x) = 3(2x + 5) Reorder the terms: 20 + 10x = 3(5 + 2x) 20 + 10x = (5 * 3 + 2x * 3) 20 + 10x = (15 + 6x) Solving 20 + 10x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 10x + -6x = 15 + 6x + -6x Combine like terms: 10x + -6x = 4x 20 + 4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 4x = 15 + 0 20 + 4x = 15 Add '-20' to each side of the equation. 20 + -20 + 4x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 15 + -20 4x = 15 + -20 Combine like terms: 15 + -20 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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