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Simplifying 9(x + -1) + 33 = x + -8(x + 1) Reorder the terms: 9(-1 + x) + 33 = x + -8(x + 1) (-1 * 9 + x * 9) + 33 = x + -8(x + 1) (-9 + 9x) + 33 = x + -8(x + 1) Reorder the terms: -9 + 33 + 9x = x + -8(x + 1) Combine like terms: -9 + 33 = 24 24 + 9x = x + -8(x + 1) Reorder the terms: 24 + 9x = x + -8(1 + x) 24 + 9x = x + (1 * -8 + x * -8) 24 + 9x = x + (-8 + -8x) Reorder the terms: 24 + 9x = -8 + x + -8x Combine like terms: x + -8x = -7x 24 + 9x = -8 + -7x Solving 24 + 9x = -8 + -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. 24 + 9x + 7x = -8 + -7x + 7x Combine like terms: 9x + 7x = 16x 24 + 16x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 16x = -8 + 0 24 + 16x = -8 Add '-24' to each side of the equation. 24 + -24 + 16x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = -8 + -24 16x = -8 + -24 Combine like terms: -8 + -24 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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