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Simplifying 4(x + 5) + -2(x + -9) = 24 Reorder the terms: 4(5 + x) + -2(x + -9) = 24 (5 * 4 + x * 4) + -2(x + -9) = 24 (20 + 4x) + -2(x + -9) = 24 Reorder the terms: 20 + 4x + -2(-9 + x) = 24 20 + 4x + (-9 * -2 + x * -2) = 24 20 + 4x + (18 + -2x) = 24 Reorder the terms: 20 + 18 + 4x + -2x = 24 Combine like terms: 20 + 18 = 38 38 + 4x + -2x = 24 Combine like terms: 4x + -2x = 2x 38 + 2x = 24 Solving 38 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2x = 24 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 24 + -38 2x = 24 + -38 Combine like terms: 24 + -38 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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