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Simplifying 3(4x + -2) = -2(-2x + -5) Reorder the terms: 3(-2 + 4x) = -2(-2x + -5) (-2 * 3 + 4x * 3) = -2(-2x + -5) (-6 + 12x) = -2(-2x + -5) Reorder the terms: -6 + 12x = -2(-5 + -2x) -6 + 12x = (-5 * -2 + -2x * -2) -6 + 12x = (10 + 4x) Solving -6 + 12x = 10 + 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. -6 + 12x + -4x = 10 + 4x + -4x Combine like terms: 12x + -4x = 8x -6 + 8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 8x = 10 + 0 -6 + 8x = 10 Add '6' to each side of the equation. -6 + 6 + 8x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 10 + 6 8x = 10 + 6 Combine like terms: 10 + 6 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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