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Simplifying x + 32 = 5(x + -8) Reorder the terms: 32 + x = 5(x + -8) Reorder the terms: 32 + x = 5(-8 + x) 32 + x = (-8 * 5 + x * 5) 32 + x = (-40 + 5x) Solving 32 + x = -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 + x + -5x = -40 + 5x + -5x Combine like terms: x + -5x = -4x 32 + -4x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -4x = -40 + 0 32 + -4x = -40 Add '-32' to each side of the equation. 32 + -32 + -4x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = -40 + -32 -4x = -40 + -32 Combine like terms: -40 + -32 = -72 -4x = -72 Divide each side by '-4'. x = 18 Simplifying x = 18
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