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Simplifying 25 + -9(x + 1) = 17 + 2(4x + 7) Reorder the terms: 25 + -9(1 + x) = 17 + 2(4x + 7) 25 + (1 * -9 + x * -9) = 17 + 2(4x + 7) 25 + (-9 + -9x) = 17 + 2(4x + 7) Combine like terms: 25 + -9 = 16 16 + -9x = 17 + 2(4x + 7) Reorder the terms: 16 + -9x = 17 + 2(7 + 4x) 16 + -9x = 17 + (7 * 2 + 4x * 2) 16 + -9x = 17 + (14 + 8x) Combine like terms: 17 + 14 = 31 16 + -9x = 31 + 8x Solving 16 + -9x = 31 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 16 + -9x + -8x = 31 + 8x + -8x Combine like terms: -9x + -8x = -17x 16 + -17x = 31 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -17x = 31 + 0 16 + -17x = 31 Add '-16' to each side of the equation. 16 + -16 + -17x = 31 + -16 Combine like terms: 16 + -16 = 0 0 + -17x = 31 + -16 -17x = 31 + -16 Combine like terms: 31 + -16 = 15 -17x = 15 Divide each side by '-17'. x = -0.8823529412 Simplifying x = -0.8823529412
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