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Simplifying 3(4x + -6) = -8(-1x + -2) + 2 Reorder the terms: 3(-6 + 4x) = -8(-1x + -2) + 2 (-6 * 3 + 4x * 3) = -8(-1x + -2) + 2 (-18 + 12x) = -8(-1x + -2) + 2 Reorder the terms: -18 + 12x = -8(-2 + -1x) + 2 -18 + 12x = (-2 * -8 + -1x * -8) + 2 -18 + 12x = (16 + 8x) + 2 Reorder the terms: -18 + 12x = 16 + 2 + 8x Combine like terms: 16 + 2 = 18 -18 + 12x = 18 + 8x Solving -18 + 12x = 18 + 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. -18 + 12x + -8x = 18 + 8x + -8x Combine like terms: 12x + -8x = 4x -18 + 4x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 4x = 18 + 0 -18 + 4x = 18 Add '18' to each side of the equation. -18 + 18 + 4x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 18 + 18 4x = 18 + 18 Combine like terms: 18 + 18 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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