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Simplifying 32 + -4x = 8(-5x + -5) Reorder the terms: 32 + -4x = 8(-5 + -5x) 32 + -4x = (-5 * 8 + -5x * 8) 32 + -4x = (-40 + -40x) Solving 32 + -4x = -40 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 32 + -4x + 40x = -40 + -40x + 40x Combine like terms: -4x + 40x = 36x 32 + 36x = -40 + -40x + 40x Combine like terms: -40x + 40x = 0 32 + 36x = -40 + 0 32 + 36x = -40 Add '-32' to each side of the equation. 32 + -32 + 36x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 36x = -40 + -32 36x = -40 + -32 Combine like terms: -40 + -32 = -72 36x = -72 Divide each side by '36'. x = -2 Simplifying x = -2
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