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Simplifying 10x + 2 = 2(x + 5) Reorder the terms: 2 + 10x = 2(x + 5) Reorder the terms: 2 + 10x = 2(5 + x) 2 + 10x = (5 * 2 + x * 2) 2 + 10x = (10 + 2x) Solving 2 + 10x = 10 + 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. 2 + 10x + -2x = 10 + 2x + -2x Combine like terms: 10x + -2x = 8x 2 + 8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 8x = 10 + 0 2 + 8x = 10 Add '-2' to each side of the equation. 2 + -2 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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