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Simplifying 2(3x + -4) = 3(x + -6) + 4 Reorder the terms: 2(-4 + 3x) = 3(x + -6) + 4 (-4 * 2 + 3x * 2) = 3(x + -6) + 4 (-8 + 6x) = 3(x + -6) + 4 Reorder the terms: -8 + 6x = 3(-6 + x) + 4 -8 + 6x = (-6 * 3 + x * 3) + 4 -8 + 6x = (-18 + 3x) + 4 Reorder the terms: -8 + 6x = -18 + 4 + 3x Combine like terms: -18 + 4 = -14 -8 + 6x = -14 + 3x Solving -8 + 6x = -14 + 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. -8 + 6x + -3x = -14 + 3x + -3x Combine like terms: 6x + -3x = 3x -8 + 3x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 3x = -14 + 0 -8 + 3x = -14 Add '8' to each side of the equation. -8 + 8 + 3x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -14 + 8 3x = -14 + 8 Combine like terms: -14 + 8 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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