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Simplifying 2(x + 3) + -4(x + -1) = 24 Reorder the terms: 2(3 + x) + -4(x + -1) = 24 (3 * 2 + x * 2) + -4(x + -1) = 24 (6 + 2x) + -4(x + -1) = 24 Reorder the terms: 6 + 2x + -4(-1 + x) = 24 6 + 2x + (-1 * -4 + x * -4) = 24 6 + 2x + (4 + -4x) = 24 Reorder the terms: 6 + 4 + 2x + -4x = 24 Combine like terms: 6 + 4 = 10 10 + 2x + -4x = 24 Combine like terms: 2x + -4x = -2x 10 + -2x = 24 Solving 10 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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