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Simplifying 2(5x + 2) = 3(2x + 3) Reorder the terms: 2(2 + 5x) = 3(2x + 3) (2 * 2 + 5x * 2) = 3(2x + 3) (4 + 10x) = 3(2x + 3) Reorder the terms: 4 + 10x = 3(3 + 2x) 4 + 10x = (3 * 3 + 2x * 3) 4 + 10x = (9 + 6x) Solving 4 + 10x = 9 + 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. 4 + 10x + -6x = 9 + 6x + -6x Combine like terms: 10x + -6x = 4x 4 + 4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 4x = 9 + 0 4 + 4x = 9 Add '-4' to each side of the equation. 4 + -4 + 4x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 9 + -4 4x = 9 + -4 Combine like terms: 9 + -4 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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