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Simplifying -7x + 8 = 5(x + -8) Reorder the terms: 8 + -7x = 5(x + -8) Reorder the terms: 8 + -7x = 5(-8 + x) 8 + -7x = (-8 * 5 + x * 5) 8 + -7x = (-40 + 5x) Solving 8 + -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. 8 + -7x + -5x = -40 + 5x + -5x Combine like terms: -7x + -5x = -12x 8 + -12x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -12x = -40 + 0 8 + -12x = -40 Add '-8' to each side of the equation. 8 + -8 + -12x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -40 + -8 -12x = -40 + -8 Combine like terms: -40 + -8 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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