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Simplifying 9(2 + -3) + -29 = 8x + -1(x + -23) Combine like terms: 2 + -3 = -1 9(-1) + -29 = 8x + -1(x + -23) Multiply 9 * -1 -9 + -29 = 8x + -1(x + -23) Combine like terms: -9 + -29 = -38 -38 = 8x + -1(x + -23) Reorder the terms: -38 = 8x + -1(-23 + x) -38 = 8x + (-23 * -1 + x * -1) -38 = 8x + (23 + -1x) Reorder the terms: -38 = 23 + 8x + -1x Combine like terms: 8x + -1x = 7x -38 = 23 + 7x Solving -38 = 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. -38 + -7x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 + -7x = 23 + 0 -38 + -7x = 23 Add '38' to each side of the equation. -38 + 38 + -7x = 23 + 38 Combine like terms: -38 + 38 = 0 0 + -7x = 23 + 38 -7x = 23 + 38 Combine like terms: 23 + 38 = 61 -7x = 61 Divide each side by '-7'. x = -8.714285714 Simplifying x = -8.714285714
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