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Simplifying (x + -2) + 2(2x + 5) = 3(2x + 5) Reorder the terms: (-2 + x) + 2(2x + 5) = 3(2x + 5) Remove parenthesis around (-2 + x) -2 + x + 2(2x + 5) = 3(2x + 5) Reorder the terms: -2 + x + 2(5 + 2x) = 3(2x + 5) -2 + x + (5 * 2 + 2x * 2) = 3(2x + 5) -2 + x + (10 + 4x) = 3(2x + 5) Reorder the terms: -2 + 10 + x + 4x = 3(2x + 5) Combine like terms: -2 + 10 = 8 8 + x + 4x = 3(2x + 5) Combine like terms: x + 4x = 5x 8 + 5x = 3(2x + 5) Reorder the terms: 8 + 5x = 3(5 + 2x) 8 + 5x = (5 * 3 + 2x * 3) 8 + 5x = (15 + 6x) Solving 8 + 5x = 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. 8 + 5x + -6x = 15 + 6x + -6x Combine like terms: 5x + -6x = -1x 8 + -1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -1x = 15 + 0 8 + -1x = 15 Add '-8' to each side of the equation. 8 + -8 + -1x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 15 + -8 -1x = 15 + -8 Combine like terms: 15 + -8 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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