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Simplifying 4(x + 3) + -2(x + -5) = 56 Reorder the terms: 4(3 + x) + -2(x + -5) = 56 (3 * 4 + x * 4) + -2(x + -5) = 56 (12 + 4x) + -2(x + -5) = 56 Reorder the terms: 12 + 4x + -2(-5 + x) = 56 12 + 4x + (-5 * -2 + x * -2) = 56 12 + 4x + (10 + -2x) = 56 Reorder the terms: 12 + 10 + 4x + -2x = 56 Combine like terms: 12 + 10 = 22 22 + 4x + -2x = 56 Combine like terms: 4x + -2x = 2x 22 + 2x = 56 Solving 22 + 2x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2x = 56 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 56 + -22 2x = 56 + -22 Combine like terms: 56 + -22 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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