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Simplifying 3(x + -6) + -4 = 6x + 2 Reorder the terms: 3(-6 + x) + -4 = 6x + 2 (-6 * 3 + x * 3) + -4 = 6x + 2 (-18 + 3x) + -4 = 6x + 2 Reorder the terms: -18 + -4 + 3x = 6x + 2 Combine like terms: -18 + -4 = -22 -22 + 3x = 6x + 2 Reorder the terms: -22 + 3x = 2 + 6x Solving -22 + 3x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -22 + 3x + -6x = 2 + 6x + -6x Combine like terms: 3x + -6x = -3x -22 + -3x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + -3x = 2 + 0 -22 + -3x = 2 Add '22' to each side of the equation. -22 + 22 + -3x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 2 + 22 -3x = 2 + 22 Combine like terms: 2 + 22 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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