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Simplifying 5(2x + 2) = 8x + 14 Reorder the terms: 5(2 + 2x) = 8x + 14 (2 * 5 + 2x * 5) = 8x + 14 (10 + 10x) = 8x + 14 Reorder the terms: 10 + 10x = 14 + 8x Solving 10 + 10x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 10x + -8x = 14 + 8x + -8x Combine like terms: 10x + -8x = 2x 10 + 2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 2x = 14 + 0 10 + 2x = 14 Add '-10' to each side of the equation. 10 + -10 + 2x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 14 + -10 2x = 14 + -10 Combine like terms: 14 + -10 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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