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Simplifying 2(x + -4) + -1(3x + 1) = 6 + 2(x + -2) Reorder the terms: 2(-4 + x) + -1(3x + 1) = 6 + 2(x + -2) (-4 * 2 + x * 2) + -1(3x + 1) = 6 + 2(x + -2) (-8 + 2x) + -1(3x + 1) = 6 + 2(x + -2) Reorder the terms: -8 + 2x + -1(1 + 3x) = 6 + 2(x + -2) -8 + 2x + (1 * -1 + 3x * -1) = 6 + 2(x + -2) -8 + 2x + (-1 + -3x) = 6 + 2(x + -2) Reorder the terms: -8 + -1 + 2x + -3x = 6 + 2(x + -2) Combine like terms: -8 + -1 = -9 -9 + 2x + -3x = 6 + 2(x + -2) Combine like terms: 2x + -3x = -1x -9 + -1x = 6 + 2(x + -2) Reorder the terms: -9 + -1x = 6 + 2(-2 + x) -9 + -1x = 6 + (-2 * 2 + x * 2) -9 + -1x = 6 + (-4 + 2x) Combine like terms: 6 + -4 = 2 -9 + -1x = 2 + 2x Solving -9 + -1x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x -9 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -3x = 2 + 0 -9 + -3x = 2 Add '9' to each side of the equation. -9 + 9 + -3x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 2 + 9 -3x = 2 + 9 Combine like terms: 2 + 9 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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