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Simplifying 2(5x + 1) = 2x + 18 Reorder the terms: 2(1 + 5x) = 2x + 18 (1 * 2 + 5x * 2) = 2x + 18 (2 + 10x) = 2x + 18 Reorder the terms: 2 + 10x = 18 + 2x Solving 2 + 10x = 18 + 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 = 18 + 2x + -2x Combine like terms: 10x + -2x = 8x 2 + 8x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 8x = 18 + 0 2 + 8x = 18 Add '-2' to each side of the equation. 2 + -2 + 8x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 18 + -2 8x = 18 + -2 Combine like terms: 18 + -2 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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