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Simplifying -5(4x + -2) = 2(3 + 6x) Reorder the terms: -5(-2 + 4x) = 2(3 + 6x) (-2 * -5 + 4x * -5) = 2(3 + 6x) (10 + -20x) = 2(3 + 6x) 10 + -20x = (3 * 2 + 6x * 2) 10 + -20x = (6 + 12x) Solving 10 + -20x = 6 + 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. 10 + -20x + -12x = 6 + 12x + -12x Combine like terms: -20x + -12x = -32x 10 + -32x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -32x = 6 + 0 10 + -32x = 6 Add '-10' to each side of the equation. 10 + -10 + -32x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -32x = 6 + -10 -32x = 6 + -10 Combine like terms: 6 + -10 = -4 -32x = -4 Divide each side by '-32'. x = 0.125 Simplifying x = 0.125
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