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Simplifying -6(x + 2) = 8(-1x + 4) Reorder the terms: -6(2 + x) = 8(-1x + 4) (2 * -6 + x * -6) = 8(-1x + 4) (-12 + -6x) = 8(-1x + 4) Reorder the terms: -12 + -6x = 8(4 + -1x) -12 + -6x = (4 * 8 + -1x * 8) -12 + -6x = (32 + -8x) Solving -12 + -6x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + -6x + 8x = 32 + -8x + 8x Combine like terms: -6x + 8x = 2x -12 + 2x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 2x = 32 + 0 -12 + 2x = 32 Add '12' to each side of the equation. -12 + 12 + 2x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 32 + 12 2x = 32 + 12 Combine like terms: 32 + 12 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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