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Simplifying 4(x + 2) + -2(x + -3) = 20 Reorder the terms: 4(2 + x) + -2(x + -3) = 20 (2 * 4 + x * 4) + -2(x + -3) = 20 (8 + 4x) + -2(x + -3) = 20 Reorder the terms: 8 + 4x + -2(-3 + x) = 20 8 + 4x + (-3 * -2 + x * -2) = 20 8 + 4x + (6 + -2x) = 20 Reorder the terms: 8 + 6 + 4x + -2x = 20 Combine like terms: 8 + 6 = 14 14 + 4x + -2x = 20 Combine like terms: 4x + -2x = 2x 14 + 2x = 20 Solving 14 + 2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 20 + -14 2x = 20 + -14 Combine like terms: 20 + -14 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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