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Simplifying 3(2x + 5) = 2(2 + -1x) Reorder the terms: 3(5 + 2x) = 2(2 + -1x) (5 * 3 + 2x * 3) = 2(2 + -1x) (15 + 6x) = 2(2 + -1x) 15 + 6x = (2 * 2 + -1x * 2) 15 + 6x = (4 + -2x) Solving 15 + 6x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + 6x + 2x = 4 + -2x + 2x Combine like terms: 6x + 2x = 8x 15 + 8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 8x = 4 + 0 15 + 8x = 4 Add '-15' to each side of the equation. 15 + -15 + 8x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 4 + -15 8x = 4 + -15 Combine like terms: 4 + -15 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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