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Simplifying -5x + -32 = 8(-4 + 5x) + 6x Reorder the terms: -32 + -5x = 8(-4 + 5x) + 6x -32 + -5x = (-4 * 8 + 5x * 8) + 6x -32 + -5x = (-32 + 40x) + 6x Combine like terms: 40x + 6x = 46x -32 + -5x = -32 + 46x Add '32' to each side of the equation. -32 + 32 + -5x = -32 + 32 + 46x Combine like terms: -32 + 32 = 0 0 + -5x = -32 + 32 + 46x -5x = -32 + 32 + 46x Combine like terms: -32 + 32 = 0 -5x = 0 + 46x -5x = 46x Solving -5x = 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -5x + -46x = 46x + -46x Combine like terms: -5x + -46x = -51x -51x = 46x + -46x Combine like terms: 46x + -46x = 0 -51x = 0 Divide each side by '-51'. x = 0 Simplifying x = 0
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