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Simplifying 2(5 + 2x) = 3(4 + -1x) (5 * 2 + 2x * 2) = 3(4 + -1x) (10 + 4x) = 3(4 + -1x) 10 + 4x = (4 * 3 + -1x * 3) 10 + 4x = (12 + -3x) Solving 10 + 4x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 4x + 3x = 12 + -3x + 3x Combine like terms: 4x + 3x = 7x 10 + 7x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 7x = 12 + 0 10 + 7x = 12 Add '-10' to each side of the equation. 10 + -10 + 7x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 12 + -10 7x = 12 + -10 Combine like terms: 12 + -10 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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