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Simplifying -4(-5 + -1x) = 6(2x + 2) (-5 * -4 + -1x * -4) = 6(2x + 2) (20 + 4x) = 6(2x + 2) Reorder the terms: 20 + 4x = 6(2 + 2x) 20 + 4x = (2 * 6 + 2x * 6) 20 + 4x = (12 + 12x) Solving 20 + 4x = 12 + 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. 20 + 4x + -12x = 12 + 12x + -12x Combine like terms: 4x + -12x = -8x 20 + -8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -8x = 12 + 0 20 + -8x = 12 Add '-20' to each side of the equation. 20 + -20 + -8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 12 + -20 -8x = 12 + -20 Combine like terms: 12 + -20 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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