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Simplifying 2(5x + 8) = 3(2x + 4) Reorder the terms: 2(8 + 5x) = 3(2x + 4) (8 * 2 + 5x * 2) = 3(2x + 4) (16 + 10x) = 3(2x + 4) Reorder the terms: 16 + 10x = 3(4 + 2x) 16 + 10x = (4 * 3 + 2x * 3) 16 + 10x = (12 + 6x) Solving 16 + 10x = 12 + 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 = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x 16 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 4x = 12 + 0 16 + 4x = 12 Add '-16' to each side of the equation. 16 + -16 + 4x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 12 + -16 4x = 12 + -16 Combine like terms: 12 + -16 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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