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Simplifying 9 + -2(7x + -5) = 3(x + -5) Reorder the terms: 9 + -2(-5 + 7x) = 3(x + -5) 9 + (-5 * -2 + 7x * -2) = 3(x + -5) 9 + (10 + -14x) = 3(x + -5) Combine like terms: 9 + 10 = 19 19 + -14x = 3(x + -5) Reorder the terms: 19 + -14x = 3(-5 + x) 19 + -14x = (-5 * 3 + x * 3) 19 + -14x = (-15 + 3x) Solving 19 + -14x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + -14x + -3x = -15 + 3x + -3x Combine like terms: -14x + -3x = -17x 19 + -17x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -17x = -15 + 0 19 + -17x = -15 Add '-19' to each side of the equation. 19 + -19 + -17x = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -17x = -15 + -19 -17x = -15 + -19 Combine like terms: -15 + -19 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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