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Simplifying 2(5x + 2) = 2x + 14 Reorder the terms: 2(2 + 5x) = 2x + 14 (2 * 2 + 5x * 2) = 2x + 14 (4 + 10x) = 2x + 14 Reorder the terms: 4 + 10x = 14 + 2x Solving 4 + 10x = 14 + 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. 4 + 10x + -2x = 14 + 2x + -2x Combine like terms: 10x + -2x = 8x 4 + 8x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 8x = 14 + 0 4 + 8x = 14 Add '-4' to each side of the equation. 4 + -4 + 8x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 14 + -4 8x = 14 + -4 Combine like terms: 14 + -4 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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