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Simplifying 1(x + -9) + -8 = -4x + (-32) Reorder the terms: 1(-9 + x) + -8 = -4x + (-32) (-9 * 1 + x * 1) + -8 = -4x + (-32) (-9 + 1x) + -8 = -4x + (-32) Reorder the terms: -9 + -8 + 1x = -4x + (-32) Combine like terms: -9 + -8 = -17 -17 + 1x = -4x + (-32) -17 + 1x = -4x + -32 Reorder the terms: -17 + 1x = -32 + -4x Solving -17 + 1x = -32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -17 + 1x + 4x = -32 + -4x + 4x Combine like terms: 1x + 4x = 5x -17 + 5x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 5x = -32 + 0 -17 + 5x = -32 Add '17' to each side of the equation. -17 + 17 + 5x = -32 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -32 + 17 5x = -32 + 17 Combine like terms: -32 + 17 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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