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Simplifying 4(x + 2) = 3(x + -6) + -2x Reorder the terms: 4(2 + x) = 3(x + -6) + -2x (2 * 4 + x * 4) = 3(x + -6) + -2x (8 + 4x) = 3(x + -6) + -2x Reorder the terms: 8 + 4x = 3(-6 + x) + -2x 8 + 4x = (-6 * 3 + x * 3) + -2x 8 + 4x = (-18 + 3x) + -2x Combine like terms: 3x + -2x = 1x 8 + 4x = -18 + 1x Solving 8 + 4x = -18 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 4x + -1x = -18 + 1x + -1x Combine like terms: 4x + -1x = 3x 8 + 3x = -18 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 3x = -18 + 0 8 + 3x = -18 Add '-8' to each side of the equation. 8 + -8 + 3x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -18 + -8 3x = -18 + -8 Combine like terms: -18 + -8 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667
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