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Simplifying 2(6x + -10) = -4(2x + -5) Reorder the terms: 2(-10 + 6x) = -4(2x + -5) (-10 * 2 + 6x * 2) = -4(2x + -5) (-20 + 12x) = -4(2x + -5) Reorder the terms: -20 + 12x = -4(-5 + 2x) -20 + 12x = (-5 * -4 + 2x * -4) -20 + 12x = (20 + -8x) Solving -20 + 12x = 20 + -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. -20 + 12x + 8x = 20 + -8x + 8x Combine like terms: 12x + 8x = 20x -20 + 20x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 20x = 20 + 0 -20 + 20x = 20 Add '20' to each side of the equation. -20 + 20 + 20x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 20x = 20 + 20 20x = 20 + 20 Combine like terms: 20 + 20 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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