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Simplifying (3 + -1x) + (8 + x) + -1(3 + -1x) + -1(-1x + -4) = 24 Remove parenthesis around (3 + -1x) 3 + -1x + (8 + x) + -1(3 + -1x) + -1(-1x + -4) = 24 Remove parenthesis around (8 + x) 3 + -1x + 8 + x + -1(3 + -1x) + -1(-1x + -4) = 24 3 + -1x + 8 + x + (3 * -1 + -1x * -1) + -1(-1x + -4) = 24 3 + -1x + 8 + x + (-3 + 1x) + -1(-1x + -4) = 24 Reorder the terms: 3 + -1x + 8 + x + -3 + 1x + -1(-4 + -1x) = 24 3 + -1x + 8 + x + -3 + 1x + (-4 * -1 + -1x * -1) = 24 3 + -1x + 8 + x + -3 + 1x + (4 + 1x) = 24 Reorder the terms: 3 + 8 + -3 + 4 + -1x + x + 1x + 1x = 24 Combine like terms: 3 + 8 = 11 11 + -3 + 4 + -1x + x + 1x + 1x = 24 Combine like terms: 11 + -3 = 8 8 + 4 + -1x + x + 1x + 1x = 24 Combine like terms: 8 + 4 = 12 12 + -1x + x + 1x + 1x = 24 Combine like terms: -1x + x = 0 12 + 0 + 1x + 1x = 24 12 + 1x + 1x = 24 Combine like terms: 1x + 1x = 2x 12 + 2x = 24 Solving 12 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 24 + -12 2x = 24 + -12 Combine like terms: 24 + -12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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