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Simplifying 7(2 + -1x) + -3(x + 1) + 3(9 + -1(4 + -2x)) = 18 (2 * 7 + -1x * 7) + -3(x + 1) + 3(9 + -1(4 + -2x)) = 18 (14 + -7x) + -3(x + 1) + 3(9 + -1(4 + -2x)) = 18 Reorder the terms: 14 + -7x + -3(1 + x) + 3(9 + -1(4 + -2x)) = 18 14 + -7x + (1 * -3 + x * -3) + 3(9 + -1(4 + -2x)) = 18 14 + -7x + (-3 + -3x) + 3(9 + -1(4 + -2x)) = 18 14 + -7x + -3 + -3x + 3(9 + (4 * -1 + -2x * -1)) = 18 14 + -7x + -3 + -3x + 3(9 + (-4 + 2x)) = 18 Combine like terms: 9 + -4 = 5 14 + -7x + -3 + -3x + 3(5 + 2x) = 18 14 + -7x + -3 + -3x + (5 * 3 + 2x * 3) = 18 14 + -7x + -3 + -3x + (15 + 6x) = 18 Reorder the terms: 14 + -3 + 15 + -7x + -3x + 6x = 18 Combine like terms: 14 + -3 = 11 11 + 15 + -7x + -3x + 6x = 18 Combine like terms: 11 + 15 = 26 26 + -7x + -3x + 6x = 18 Combine like terms: -7x + -3x = -10x 26 + -10x + 6x = 18 Combine like terms: -10x + 6x = -4x 26 + -4x = 18 Solving 26 + -4x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -4x = 18 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 18 + -26 -4x = 18 + -26 Combine like terms: 18 + -26 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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