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Simplifying 5x + 2(1 + -1x) = 14 + -2(3 + -2a) 5x + (1 * 2 + -1x * 2) = 14 + -2(3 + -2a) 5x + (2 + -2x) = 14 + -2(3 + -2a) Reorder the terms: 2 + 5x + -2x = 14 + -2(3 + -2a) Combine like terms: 5x + -2x = 3x 2 + 3x = 14 + -2(3 + -2a) 2 + 3x = 14 + (3 * -2 + -2a * -2) 2 + 3x = 14 + (-6 + 4a) Combine like terms: 14 + -6 = 8 2 + 3x = 8 + 4a Solving 2 + 3x = 8 + 4a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 8 + -2 + 4a Combine like terms: 2 + -2 = 0 0 + 3x = 8 + -2 + 4a 3x = 8 + -2 + 4a Combine like terms: 8 + -2 = 6 3x = 6 + 4a Divide each side by '3'. x = 2 + 1.333333333a Simplifying x = 2 + 1.333333333a
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