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Simplifying 5 + 3(x + 7) = 17(x + -2) + -10 Reorder the terms: 5 + 3(7 + x) = 17(x + -2) + -10 5 + (7 * 3 + x * 3) = 17(x + -2) + -10 5 + (21 + 3x) = 17(x + -2) + -10 Combine like terms: 5 + 21 = 26 26 + 3x = 17(x + -2) + -10 Reorder the terms: 26 + 3x = 17(-2 + x) + -10 26 + 3x = (-2 * 17 + x * 17) + -10 26 + 3x = (-34 + 17x) + -10 Reorder the terms: 26 + 3x = -34 + -10 + 17x Combine like terms: -34 + -10 = -44 26 + 3x = -44 + 17x Solving 26 + 3x = -44 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 26 + 3x + -17x = -44 + 17x + -17x Combine like terms: 3x + -17x = -14x 26 + -14x = -44 + 17x + -17x Combine like terms: 17x + -17x = 0 26 + -14x = -44 + 0 26 + -14x = -44 Add '-26' to each side of the equation. 26 + -26 + -14x = -44 + -26 Combine like terms: 26 + -26 = 0 0 + -14x = -44 + -26 -14x = -44 + -26 Combine like terms: -44 + -26 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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