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Simplifying 2(3x + 6) + -4(x + -2) = 24 Reorder the terms: 2(6 + 3x) + -4(x + -2) = 24 (6 * 2 + 3x * 2) + -4(x + -2) = 24 (12 + 6x) + -4(x + -2) = 24 Reorder the terms: 12 + 6x + -4(-2 + x) = 24 12 + 6x + (-2 * -4 + x * -4) = 24 12 + 6x + (8 + -4x) = 24 Reorder the terms: 12 + 8 + 6x + -4x = 24 Combine like terms: 12 + 8 = 20 20 + 6x + -4x = 24 Combine like terms: 6x + -4x = 2x 20 + 2x = 24 Solving 20 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 24 + -20 2x = 24 + -20 Combine like terms: 24 + -20 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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