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Simplifying 4(-5x + 2) = -2(5 + 6x) + -6 Reorder the terms: 4(2 + -5x) = -2(5 + 6x) + -6 (2 * 4 + -5x * 4) = -2(5 + 6x) + -6 (8 + -20x) = -2(5 + 6x) + -6 8 + -20x = (5 * -2 + 6x * -2) + -6 8 + -20x = (-10 + -12x) + -6 Reorder the terms: 8 + -20x = -10 + -6 + -12x Combine like terms: -10 + -6 = -16 8 + -20x = -16 + -12x Solving 8 + -20x = -16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -20x + 12x = -16 + -12x + 12x Combine like terms: -20x + 12x = -8x 8 + -8x = -16 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + -8x = -16 + 0 8 + -8x = -16 Add '-8' to each side of the equation. 8 + -8 + -8x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -16 + -8 -8x = -16 + -8 Combine like terms: -16 + -8 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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