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Simplifying 2(5x + 4) = 7x + 14 Reorder the terms: 2(4 + 5x) = 7x + 14 (4 * 2 + 5x * 2) = 7x + 14 (8 + 10x) = 7x + 14 Reorder the terms: 8 + 10x = 14 + 7x Solving 8 + 10x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 10x + -7x = 14 + 7x + -7x Combine like terms: 10x + -7x = 3x 8 + 3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 3x = 14 + 0 8 + 3x = 14 Add '-8' to each side of the equation. 8 + -8 + 3x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 14 + -8 3x = 14 + -8 Combine like terms: 14 + -8 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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