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Simplifying -3(x + -1) + -1(-2) + -3(-1x + -1) = 3(x + -4) Reorder the terms: -3(-1 + x) + -1(-2) + -3(-1x + -1) = 3(x + -4) (-1 * -3 + x * -3) + -1(-2) + -3(-1x + -1) = 3(x + -4) (3 + -3x) + -1(-2) + -3(-1x + -1) = 3(x + -4) Multiply -1 * -2 3 + -3x + 2 + -3(-1x + -1) = 3(x + -4) Reorder the terms: 3 + -3x + 2 + -3(-1 + -1x) = 3(x + -4) 3 + -3x + 2 + (-1 * -3 + -1x * -3) = 3(x + -4) 3 + -3x + 2 + (3 + 3x) = 3(x + -4) Reorder the terms: 3 + 2 + 3 + -3x + 3x = 3(x + -4) Combine like terms: 3 + 2 = 5 5 + 3 + -3x + 3x = 3(x + -4) Combine like terms: 5 + 3 = 8 8 + -3x + 3x = 3(x + -4) Combine like terms: -3x + 3x = 0 8 + 0 = 3(x + -4) 8 = 3(x + -4) Reorder the terms: 8 = 3(-4 + x) 8 = (-4 * 3 + x * 3) 8 = (-12 + 3x) Solving 8 = -12 + 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. 8 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -3x = -12 + 0 8 + -3x = -12 Add '-8' to each side of the equation. 8 + -8 + -3x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -12 + -8 -3x = -12 + -8 Combine like terms: -12 + -8 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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