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Simplifying 3(2x + 5) + x = 15 + -1(-9 + -1x + -5) Reorder the terms: 3(5 + 2x) + x = 15 + -1(-9 + -1x + -5) (5 * 3 + 2x * 3) + x = 15 + -1(-9 + -1x + -5) (15 + 6x) + x = 15 + -1(-9 + -1x + -5) Combine like terms: 6x + x = 7x 15 + 7x = 15 + -1(-9 + -1x + -5) Reorder the terms: 15 + 7x = 15 + -1(-9 + -5 + -1x) Combine like terms: -9 + -5 = -14 15 + 7x = 15 + -1(-14 + -1x) 15 + 7x = 15 + (-14 * -1 + -1x * -1) 15 + 7x = 15 + (14 + 1x) Combine like terms: 15 + 14 = 29 15 + 7x = 29 + 1x Solving 15 + 7x = 29 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 7x + -1x = 29 + 1x + -1x Combine like terms: 7x + -1x = 6x 15 + 6x = 29 + 1x + -1x Combine like terms: 1x + -1x = 0 15 + 6x = 29 + 0 15 + 6x = 29 Add '-15' to each side of the equation. 15 + -15 + 6x = 29 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 29 + -15 6x = 29 + -15 Combine like terms: 29 + -15 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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