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Simplifying 2(5x + 1) = 2(x + 1) Reorder the terms: 2(1 + 5x) = 2(x + 1) (1 * 2 + 5x * 2) = 2(x + 1) (2 + 10x) = 2(x + 1) Reorder the terms: 2 + 10x = 2(1 + x) 2 + 10x = (1 * 2 + x * 2) 2 + 10x = (2 + 2x) Add '-2' to each side of the equation. 2 + -2 + 10x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 10x = 2 + -2 + 2x 10x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 10x = 0 + 2x 10x = 2x Solving 10x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10x + -2x = 2x + -2x Combine like terms: 10x + -2x = 8x 8x = 2x + -2x Combine like terms: 2x + -2x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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