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Simplifying 9(2 + -3x) + -29 = 8x + -1(x + -23) (2 * 9 + -3x * 9) + -29 = 8x + -1(x + -23) (18 + -27x) + -29 = 8x + -1(x + -23) Reorder the terms: 18 + -29 + -27x = 8x + -1(x + -23) Combine like terms: 18 + -29 = -11 -11 + -27x = 8x + -1(x + -23) Reorder the terms: -11 + -27x = 8x + -1(-23 + x) -11 + -27x = 8x + (-23 * -1 + x * -1) -11 + -27x = 8x + (23 + -1x) Reorder the terms: -11 + -27x = 23 + 8x + -1x Combine like terms: 8x + -1x = 7x -11 + -27x = 23 + 7x Solving -11 + -27x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11 + -27x + -7x = 23 + 7x + -7x Combine like terms: -27x + -7x = -34x -11 + -34x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -11 + -34x = 23 + 0 -11 + -34x = 23 Add '11' to each side of the equation. -11 + 11 + -34x = 23 + 11 Combine like terms: -11 + 11 = 0 0 + -34x = 23 + 11 -34x = 23 + 11 Combine like terms: 23 + 11 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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