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Simplifying 6(x + 2) + -12(1 + -1x) = 18(4 + -2x) + 24 Reorder the terms: 6(2 + x) + -12(1 + -1x) = 18(4 + -2x) + 24 (2 * 6 + x * 6) + -12(1 + -1x) = 18(4 + -2x) + 24 (12 + 6x) + -12(1 + -1x) = 18(4 + -2x) + 24 12 + 6x + (1 * -12 + -1x * -12) = 18(4 + -2x) + 24 12 + 6x + (-12 + 12x) = 18(4 + -2x) + 24 Reorder the terms: 12 + -12 + 6x + 12x = 18(4 + -2x) + 24 Combine like terms: 12 + -12 = 0 0 + 6x + 12x = 18(4 + -2x) + 24 6x + 12x = 18(4 + -2x) + 24 Combine like terms: 6x + 12x = 18x 18x = 18(4 + -2x) + 24 18x = (4 * 18 + -2x * 18) + 24 18x = (72 + -36x) + 24 Reorder the terms: 18x = 72 + 24 + -36x Combine like terms: 72 + 24 = 96 18x = 96 + -36x Solving 18x = 96 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 18x + 36x = 96 + -36x + 36x Combine like terms: 18x + 36x = 54x 54x = 96 + -36x + 36x Combine like terms: -36x + 36x = 0 54x = 96 + 0 54x = 96 Divide each side by '54'. x = 1.777777778 Simplifying x = 1.777777778
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