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Simplifying -6(4 + -1x) + 2 = 3(x + -3) (4 * -6 + -1x * -6) + 2 = 3(x + -3) (-24 + 6x) + 2 = 3(x + -3) Reorder the terms: -24 + 2 + 6x = 3(x + -3) Combine like terms: -24 + 2 = -22 -22 + 6x = 3(x + -3) Reorder the terms: -22 + 6x = 3(-3 + x) -22 + 6x = (-3 * 3 + x * 3) -22 + 6x = (-9 + 3x) Solving -22 + 6x = -9 + 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. -22 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x -22 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 3x = -9 + 0 -22 + 3x = -9 Add '22' to each side of the equation. -22 + 22 + 3x = -9 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -9 + 22 3x = -9 + 22 Combine like terms: -9 + 22 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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