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Simplifying 18 + -3(x + -9) = 6(-1x + 2) Reorder the terms: 18 + -3(-9 + x) = 6(-1x + 2) 18 + (-9 * -3 + x * -3) = 6(-1x + 2) 18 + (27 + -3x) = 6(-1x + 2) Combine like terms: 18 + 27 = 45 45 + -3x = 6(-1x + 2) Reorder the terms: 45 + -3x = 6(2 + -1x) 45 + -3x = (2 * 6 + -1x * 6) 45 + -3x = (12 + -6x) Solving 45 + -3x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 45 + -3x + 6x = 12 + -6x + 6x Combine like terms: -3x + 6x = 3x 45 + 3x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 45 + 3x = 12 + 0 45 + 3x = 12 Add '-45' to each side of the equation. 45 + -45 + 3x = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 12 + -45 3x = 12 + -45 Combine like terms: 12 + -45 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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