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Simplifying 24 + -1(x + 3) = 12 + 2(9 + -2x) Reorder the terms: 24 + -1(3 + x) = 12 + 2(9 + -2x) 24 + (3 * -1 + x * -1) = 12 + 2(9 + -2x) 24 + (-3 + -1x) = 12 + 2(9 + -2x) Combine like terms: 24 + -3 = 21 21 + -1x = 12 + 2(9 + -2x) 21 + -1x = 12 + (9 * 2 + -2x * 2) 21 + -1x = 12 + (18 + -4x) Combine like terms: 12 + 18 = 30 21 + -1x = 30 + -4x Solving 21 + -1x = 30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 21 + -1x + 4x = 30 + -4x + 4x Combine like terms: -1x + 4x = 3x 21 + 3x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 3x = 30 + 0 21 + 3x = 30 Add '-21' to each side of the equation. 21 + -21 + 3x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 30 + -21 3x = 30 + -21 Combine like terms: 30 + -21 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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