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Simplifying 6(x + -5) = 5x + -32 Reorder the terms: 6(-5 + x) = 5x + -32 (-5 * 6 + x * 6) = 5x + -32 (-30 + 6x) = 5x + -32 Reorder the terms: -30 + 6x = -32 + 5x Solving -30 + 6x = -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. -30 + 6x + -5x = -32 + 5x + -5x Combine like terms: 6x + -5x = 1x -30 + 1x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 1x = -32 + 0 -30 + 1x = -32 Add '30' to each side of the equation. -30 + 30 + 1x = -32 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -32 + 30 1x = -32 + 30 Combine like terms: -32 + 30 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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