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Simplifying 6(x + -4) + 2 = 8 + -1(3x + 9) Reorder the terms: 6(-4 + x) + 2 = 8 + -1(3x + 9) (-4 * 6 + x * 6) + 2 = 8 + -1(3x + 9) (-24 + 6x) + 2 = 8 + -1(3x + 9) Reorder the terms: -24 + 2 + 6x = 8 + -1(3x + 9) Combine like terms: -24 + 2 = -22 -22 + 6x = 8 + -1(3x + 9) Reorder the terms: -22 + 6x = 8 + -1(9 + 3x) -22 + 6x = 8 + (9 * -1 + 3x * -1) -22 + 6x = 8 + (-9 + -3x) Combine like terms: 8 + -9 = -1 -22 + 6x = -1 + -3x Solving -22 + 6x = -1 + -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 = -1 + -3x + 3x Combine like terms: 6x + 3x = 9x -22 + 9x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -22 + 9x = -1 + 0 -22 + 9x = -1 Add '22' to each side of the equation. -22 + 22 + 9x = -1 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = -1 + 22 9x = -1 + 22 Combine like terms: -1 + 22 = 21 9x = 21 Divide each side by '9'. x = 2.333333333 Simplifying x = 2.333333333
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