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Simplifying 24 + -1(3x + 4) = 2(x + 4) + x Reorder the terms: 24 + -1(4 + 3x) = 2(x + 4) + x 24 + (4 * -1 + 3x * -1) = 2(x + 4) + x 24 + (-4 + -3x) = 2(x + 4) + x Combine like terms: 24 + -4 = 20 20 + -3x = 2(x + 4) + x Reorder the terms: 20 + -3x = 2(4 + x) + x 20 + -3x = (4 * 2 + x * 2) + x 20 + -3x = (8 + 2x) + x Combine like terms: 2x + x = 3x 20 + -3x = 8 + 3x Solving 20 + -3x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + -3x + -3x = 8 + 3x + -3x Combine like terms: -3x + -3x = -6x 20 + -6x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -6x = 8 + 0 20 + -6x = 8 Add '-20' to each side of the equation. 20 + -20 + -6x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 8 + -20 -6x = 8 + -20 Combine like terms: 8 + -20 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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