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Simplifying -3(x + 2) + -18 = 5x + 32 Reorder the terms: -3(2 + x) + -18 = 5x + 32 (2 * -3 + x * -3) + -18 = 5x + 32 (-6 + -3x) + -18 = 5x + 32 Reorder the terms: -6 + -18 + -3x = 5x + 32 Combine like terms: -6 + -18 = -24 -24 + -3x = 5x + 32 Reorder the terms: -24 + -3x = 32 + 5x Solving -24 + -3x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + -3x + -5x = 32 + 5x + -5x Combine like terms: -3x + -5x = -8x -24 + -8x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -8x = 32 + 0 -24 + -8x = 32 Add '24' to each side of the equation. -24 + 24 + -8x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 32 + 24 -8x = 32 + 24 Combine like terms: 32 + 24 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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