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Simplifying x + 8 = 5(2x + -2) Reorder the terms: 8 + x = 5(2x + -2) Reorder the terms: 8 + x = 5(-2 + 2x) 8 + x = (-2 * 5 + 2x * 5) 8 + x = (-10 + 10x) Solving 8 + x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + x + -10x = -10 + 10x + -10x Combine like terms: x + -10x = -9x 8 + -9x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -9x = -10 + 0 8 + -9x = -10 Add '-8' to each side of the equation. 8 + -8 + -9x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -10 + -8 -9x = -10 + -8 Combine like terms: -10 + -8 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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