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Simplifying -2(-5 + -6x) = 4(5x + 3) (-5 * -2 + -6x * -2) = 4(5x + 3) (10 + 12x) = 4(5x + 3) Reorder the terms: 10 + 12x = 4(3 + 5x) 10 + 12x = (3 * 4 + 5x * 4) 10 + 12x = (12 + 20x) Solving 10 + 12x = 12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 10 + 12x + -20x = 12 + 20x + -20x Combine like terms: 12x + -20x = -8x 10 + -8x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + -8x = 12 + 0 10 + -8x = 12 Add '-10' to each side of the equation. 10 + -10 + -8x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 12 + -10 -8x = 12 + -10 Combine like terms: 12 + -10 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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