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Simplifying 3(2x + 5) + x = 2(2 + -1x) + 2 Reorder the terms: 3(5 + 2x) + x = 2(2 + -1x) + 2 (5 * 3 + 2x * 3) + x = 2(2 + -1x) + 2 (15 + 6x) + x = 2(2 + -1x) + 2 Combine like terms: 6x + x = 7x 15 + 7x = 2(2 + -1x) + 2 15 + 7x = (2 * 2 + -1x * 2) + 2 15 + 7x = (4 + -2x) + 2 Reorder the terms: 15 + 7x = 4 + 2 + -2x Combine like terms: 4 + 2 = 6 15 + 7x = 6 + -2x Solving 15 + 7x = 6 + -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 + 7x + 2x = 6 + -2x + 2x Combine like terms: 7x + 2x = 9x 15 + 9x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 9x = 6 + 0 15 + 9x = 6 Add '-15' to each side of the equation. 15 + -15 + 9x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 6 + -15 9x = 6 + -15 Combine like terms: 6 + -15 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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