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Simplifying 8(2x + -2) + 10(2x + 6) = 24 Reorder the terms: 8(-2 + 2x) + 10(2x + 6) = 24 (-2 * 8 + 2x * 8) + 10(2x + 6) = 24 (-16 + 16x) + 10(2x + 6) = 24 Reorder the terms: -16 + 16x + 10(6 + 2x) = 24 -16 + 16x + (6 * 10 + 2x * 10) = 24 -16 + 16x + (60 + 20x) = 24 Reorder the terms: -16 + 60 + 16x + 20x = 24 Combine like terms: -16 + 60 = 44 44 + 16x + 20x = 24 Combine like terms: 16x + 20x = 36x 44 + 36x = 24 Solving 44 + 36x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 36x = 24 + -44 Combine like terms: 44 + -44 = 0 0 + 36x = 24 + -44 36x = 24 + -44 Combine like terms: 24 + -44 = -20 36x = -20 Divide each side by '36'. x = -0.5555555556 Simplifying x = -0.5555555556
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