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Simplifying -2(4x + -5) + 6(2x + 2) = 6 Reorder the terms: -2(-5 + 4x) + 6(2x + 2) = 6 (-5 * -2 + 4x * -2) + 6(2x + 2) = 6 (10 + -8x) + 6(2x + 2) = 6 Reorder the terms: 10 + -8x + 6(2 + 2x) = 6 10 + -8x + (2 * 6 + 2x * 6) = 6 10 + -8x + (12 + 12x) = 6 Reorder the terms: 10 + 12 + -8x + 12x = 6 Combine like terms: 10 + 12 = 22 22 + -8x + 12x = 6 Combine like terms: -8x + 12x = 4x 22 + 4x = 6 Solving 22 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4x = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 6 + -22 4x = 6 + -22 Combine like terms: 6 + -22 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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