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Simplifying 4(x + -6) + -1(x + 2) = -12 Reorder the terms: 4(-6 + x) + -1(x + 2) = -12 (-6 * 4 + x * 4) + -1(x + 2) = -12 (-24 + 4x) + -1(x + 2) = -12 Reorder the terms: -24 + 4x + -1(2 + x) = -12 -24 + 4x + (2 * -1 + x * -1) = -12 -24 + 4x + (-2 + -1x) = -12 Reorder the terms: -24 + -2 + 4x + -1x = -12 Combine like terms: -24 + -2 = -26 -26 + 4x + -1x = -12 Combine like terms: 4x + -1x = 3x -26 + 3x = -12 Solving -26 + 3x = -12 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 + 3x = -12 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = -12 + 26 3x = -12 + 26 Combine like terms: -12 + 26 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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