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Simplifying x + 5 = 2(5x + -2) Reorder the terms: 5 + x = 2(5x + -2) Reorder the terms: 5 + x = 2(-2 + 5x) 5 + x = (-2 * 2 + 5x * 2) 5 + x = (-4 + 10x) Solving 5 + x = -4 + 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. 5 + x + -10x = -4 + 10x + -10x Combine like terms: x + -10x = -9x 5 + -9x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -9x = -4 + 0 5 + -9x = -4 Add '-5' to each side of the equation. 5 + -5 + -9x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -4 + -5 -9x = -4 + -5 Combine like terms: -4 + -5 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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