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Simplifying 3(4 + -1(2 + -1x) + -3x) = 7 + -1(3(x + -2) + -1) 3(4 + (2 * -1 + -1x * -1) + -3x) = 7 + -1(3(x + -2) + -1) 3(4 + (-2 + 1x) + -3x) = 7 + -1(3(x + -2) + -1) Combine like terms: 4 + -2 = 2 3(2 + 1x + -3x) = 7 + -1(3(x + -2) + -1) Combine like terms: 1x + -3x = -2x 3(2 + -2x) = 7 + -1(3(x + -2) + -1) (2 * 3 + -2x * 3) = 7 + -1(3(x + -2) + -1) (6 + -6x) = 7 + -1(3(x + -2) + -1) Reorder the terms: 6 + -6x = 7 + -1(3(-2 + x) + -1) 6 + -6x = 7 + -1((-2 * 3 + x * 3) + -1) 6 + -6x = 7 + -1((-6 + 3x) + -1) Reorder the terms: 6 + -6x = 7 + -1(-6 + -1 + 3x) Combine like terms: -6 + -1 = -7 6 + -6x = 7 + -1(-7 + 3x) 6 + -6x = 7 + (-7 * -1 + 3x * -1) 6 + -6x = 7 + (7 + -3x) Combine like terms: 7 + 7 = 14 6 + -6x = 14 + -3x Solving 6 + -6x = 14 + -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. 6 + -6x + 3x = 14 + -3x + 3x Combine like terms: -6x + 3x = -3x 6 + -3x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -3x = 14 + 0 6 + -3x = 14 Add '-6' to each side of the equation. 6 + -6 + -3x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 14 + -6 -3x = 14 + -6 Combine like terms: 14 + -6 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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