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Simplifying 2(5x + 8) = 3(2x + 5) Reorder the terms: 2(8 + 5x) = 3(2x + 5) (8 * 2 + 5x * 2) = 3(2x + 5) (16 + 10x) = 3(2x + 5) Reorder the terms: 16 + 10x = 3(5 + 2x) 16 + 10x = (5 * 3 + 2x * 3) 16 + 10x = (15 + 6x) Solving 16 + 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. 16 + 10x + -6x = 15 + 6x + -6x Combine like terms: 10x + -6x = 4x 16 + 4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 4x = 15 + 0 16 + 4x = 15 Add '-16' to each side of the equation. 16 + -16 + 4x = 15 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 15 + -16 4x = 15 + -16 Combine like terms: 15 + -16 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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