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Simplifying -32 + 7x = 5(x + -8) Reorder the terms: -32 + 7x = 5(-8 + x) -32 + 7x = (-8 * 5 + x * 5) -32 + 7x = (-40 + 5x) Solving -32 + 7x = -40 + 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. -32 + 7x + -5x = -40 + 5x + -5x Combine like terms: 7x + -5x = 2x -32 + 2x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 2x = -40 + 0 -32 + 2x = -40 Add '32' to each side of the equation. -32 + 32 + 2x = -40 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -40 + 32 2x = -40 + 32 Combine like terms: -40 + 32 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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