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Simplifying -2x + 6(2 + -1x) + -4 = 3(24 + -9x) -2x + (2 * 6 + -1x * 6) + -4 = 3(24 + -9x) -2x + (12 + -6x) + -4 = 3(24 + -9x) Reorder the terms: 12 + -4 + -2x + -6x = 3(24 + -9x) Combine like terms: 12 + -4 = 8 8 + -2x + -6x = 3(24 + -9x) Combine like terms: -2x + -6x = -8x 8 + -8x = 3(24 + -9x) 8 + -8x = (24 * 3 + -9x * 3) 8 + -8x = (72 + -27x) Solving 8 + -8x = 72 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 8 + -8x + 27x = 72 + -27x + 27x Combine like terms: -8x + 27x = 19x 8 + 19x = 72 + -27x + 27x Combine like terms: -27x + 27x = 0 8 + 19x = 72 + 0 8 + 19x = 72 Add '-8' to each side of the equation. 8 + -8 + 19x = 72 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = 72 + -8 19x = 72 + -8 Combine like terms: 72 + -8 = 64 19x = 64 Divide each side by '19'. x = 3.368421053 Simplifying x = 3.368421053
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