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Simplifying 9(-3x) + -29 = 8x + -1(x + -23) Remove parenthesis around (-3x) 9 * -3x + -29 = 8x + -1(x + -23) Multiply 9 * -3 -27x + -29 = 8x + -1(x + -23) Reorder the terms: -29 + -27x = 8x + -1(x + -23) Reorder the terms: -29 + -27x = 8x + -1(-23 + x) -29 + -27x = 8x + (-23 * -1 + x * -1) -29 + -27x = 8x + (23 + -1x) Reorder the terms: -29 + -27x = 23 + 8x + -1x Combine like terms: 8x + -1x = 7x -29 + -27x = 23 + 7x Solving -29 + -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. -29 + -27x + -7x = 23 + 7x + -7x Combine like terms: -27x + -7x = -34x -29 + -34x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -29 + -34x = 23 + 0 -29 + -34x = 23 Add '29' to each side of the equation. -29 + 29 + -34x = 23 + 29 Combine like terms: -29 + 29 = 0 0 + -34x = 23 + 29 -34x = 23 + 29 Combine like terms: 23 + 29 = 52 -34x = 52 Divide each side by '-34'. x = -1.529411765 Simplifying x = -1.529411765
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