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Simplifying -4x + 32 = 8(x + -5) Reorder the terms: 32 + -4x = 8(x + -5) Reorder the terms: 32 + -4x = 8(-5 + x) 32 + -4x = (-5 * 8 + x * 8) 32 + -4x = (-40 + 8x) Solving 32 + -4x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + -4x + -8x = -40 + 8x + -8x Combine like terms: -4x + -8x = -12x 32 + -12x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -12x = -40 + 0 32 + -12x = -40 Add '-32' to each side of the equation. 32 + -32 + -12x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = -40 + -32 -12x = -40 + -32 Combine like terms: -40 + -32 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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