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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) Reorder the terms: 15 + 7x = 2(2 + 2 + -1x) Combine like terms: 2 + 2 = 4 15 + 7x = 2(4 + -1x) 15 + 7x = (4 * 2 + -1x * 2) 15 + 7x = (8 + -2x) Solving 15 + 7x = 8 + -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 = 8 + -2x + 2x Combine like terms: 7x + 2x = 9x 15 + 9x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 9x = 8 + 0 15 + 9x = 8 Add '-15' to each side of the equation. 15 + -15 + 9x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 8 + -15 9x = 8 + -15 Combine like terms: 8 + -15 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778
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