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Simplifying 6(x + -2) = 3(8 + -1x) Reorder the terms: 6(-2 + x) = 3(8 + -1x) (-2 * 6 + x * 6) = 3(8 + -1x) (-12 + 6x) = 3(8 + -1x) -12 + 6x = (8 * 3 + -1x * 3) -12 + 6x = (24 + -3x) Solving -12 + 6x = 24 + -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. -12 + 6x + 3x = 24 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 24 + 0 -12 + 9x = 24 Add '12' to each side of the equation. -12 + 12 + 9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 24 + 12 9x = 24 + 12 Combine like terms: 24 + 12 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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