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Simplifying 57 + -1(14x + 7) = 25 + -1(5x + 29) Reorder the terms: 57 + -1(7 + 14x) = 25 + -1(5x + 29) 57 + (7 * -1 + 14x * -1) = 25 + -1(5x + 29) 57 + (-7 + -14x) = 25 + -1(5x + 29) Combine like terms: 57 + -7 = 50 50 + -14x = 25 + -1(5x + 29) Reorder the terms: 50 + -14x = 25 + -1(29 + 5x) 50 + -14x = 25 + (29 * -1 + 5x * -1) 50 + -14x = 25 + (-29 + -5x) Combine like terms: 25 + -29 = -4 50 + -14x = -4 + -5x Solving 50 + -14x = -4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 50 + -14x + 5x = -4 + -5x + 5x Combine like terms: -14x + 5x = -9x 50 + -9x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 50 + -9x = -4 + 0 50 + -9x = -4 Add '-50' to each side of the equation. 50 + -50 + -9x = -4 + -50 Combine like terms: 50 + -50 = 0 0 + -9x = -4 + -50 -9x = -4 + -50 Combine like terms: -4 + -50 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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