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Simplifying 3(x + 2) = 2(5 + -2x) Reorder the terms: 3(2 + x) = 2(5 + -2x) (2 * 3 + x * 3) = 2(5 + -2x) (6 + 3x) = 2(5 + -2x) 6 + 3x = (5 * 2 + -2x * 2) 6 + 3x = (10 + -4x) Solving 6 + 3x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 3x + 4x = 10 + -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = 10 + 0 6 + 7x = 10 Add '-6' to each side of the equation. 6 + -6 + 7x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 10 + -6 7x = 10 + -6 Combine like terms: 10 + -6 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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