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Simplifying -5x + 30 = 5(x + 8) Reorder the terms: 30 + -5x = 5(x + 8) Reorder the terms: 30 + -5x = 5(8 + x) 30 + -5x = (8 * 5 + x * 5) 30 + -5x = (40 + 5x) Solving 30 + -5x = 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. 30 + -5x + -5x = 40 + 5x + -5x Combine like terms: -5x + -5x = -10x 30 + -10x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -10x = 40 + 0 30 + -10x = 40 Add '-30' to each side of the equation. 30 + -30 + -10x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = 40 + -30 -10x = 40 + -30 Combine like terms: 40 + -30 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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