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Simplifying -5(x + 8) = 7x + 32 Reorder the terms: -5(8 + x) = 7x + 32 (8 * -5 + x * -5) = 7x + 32 (-40 + -5x) = 7x + 32 Reorder the terms: -40 + -5x = 32 + 7x Solving -40 + -5x = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + -5x + -7x = 32 + 7x + -7x Combine like terms: -5x + -7x = -12x -40 + -12x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + -12x = 32 + 0 -40 + -12x = 32 Add '40' to each side of the equation. -40 + 40 + -12x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -12x = 32 + 40 -12x = 32 + 40 Combine like terms: 32 + 40 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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