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