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Simplifying 2(4x + 5) = 5x + 14 Reorder the terms: 2(5 + 4x) = 5x + 14 (5 * 2 + 4x * 2) = 5x + 14 (10 + 8x) = 5x + 14 Reorder the terms: 10 + 8x = 14 + 5x Solving 10 + 8x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 8x + -5x = 14 + 5x + -5x Combine like terms: 8x + -5x = 3x 10 + 3x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 3x = 14 + 0 10 + 3x = 14 Add '-10' to each side of the equation. 10 + -10 + 3x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 14 + -10 3x = 14 + -10 Combine like terms: 14 + -10 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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