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Simplifying 3(4x + -6) + -2(2x + -4) = 2(2x + -5) + -4 Reorder the terms: 3(-6 + 4x) + -2(2x + -4) = 2(2x + -5) + -4 (-6 * 3 + 4x * 3) + -2(2x + -4) = 2(2x + -5) + -4 (-18 + 12x) + -2(2x + -4) = 2(2x + -5) + -4 Reorder the terms: -18 + 12x + -2(-4 + 2x) = 2(2x + -5) + -4 -18 + 12x + (-4 * -2 + 2x * -2) = 2(2x + -5) + -4 -18 + 12x + (8 + -4x) = 2(2x + -5) + -4 Reorder the terms: -18 + 8 + 12x + -4x = 2(2x + -5) + -4 Combine like terms: -18 + 8 = -10 -10 + 12x + -4x = 2(2x + -5) + -4 Combine like terms: 12x + -4x = 8x -10 + 8x = 2(2x + -5) + -4 Reorder the terms: -10 + 8x = 2(-5 + 2x) + -4 -10 + 8x = (-5 * 2 + 2x * 2) + -4 -10 + 8x = (-10 + 4x) + -4 Reorder the terms: -10 + 8x = -10 + -4 + 4x Combine like terms: -10 + -4 = -14 -10 + 8x = -14 + 4x Solving -10 + 8x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 8x + -4x = -14 + 4x + -4x Combine like terms: 8x + -4x = 4x -10 + 4x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 4x = -14 + 0 -10 + 4x = -14 Add '10' to each side of the equation. -10 + 10 + 4x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -14 + 10 4x = -14 + 10 Combine like terms: -14 + 10 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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