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Simplifying 6 + -2(x + 6) = 3(-1x + 8) Reorder the terms: 6 + -2(6 + x) = 3(-1x + 8) 6 + (6 * -2 + x * -2) = 3(-1x + 8) 6 + (-12 + -2x) = 3(-1x + 8) Combine like terms: 6 + -12 = -6 -6 + -2x = 3(-1x + 8) Reorder the terms: -6 + -2x = 3(8 + -1x) -6 + -2x = (8 * 3 + -1x * 3) -6 + -2x = (24 + -3x) Solving -6 + -2x = 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. -6 + -2x + 3x = 24 + -3x + 3x Combine like terms: -2x + 3x = 1x -6 + 1x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 1x = 24 + 0 -6 + 1x = 24 Add '6' to each side of the equation. -6 + 6 + 1x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 24 + 6 1x = 24 + 6 Combine like terms: 24 + 6 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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