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Simplifying 4x + -6(2x + -3(5x + -8)) = 20 Reorder the terms: 4x + -6(2x + -3(-8 + 5x)) = 20 4x + -6(2x + (-8 * -3 + 5x * -3)) = 20 4x + -6(2x + (24 + -15x)) = 20 Reorder the terms: 4x + -6(24 + 2x + -15x) = 20 Combine like terms: 2x + -15x = -13x 4x + -6(24 + -13x) = 20 4x + (24 * -6 + -13x * -6) = 20 4x + (-144 + 78x) = 20 Reorder the terms: -144 + 4x + 78x = 20 Combine like terms: 4x + 78x = 82x -144 + 82x = 20 Solving -144 + 82x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + 82x = 20 + 144 Combine like terms: -144 + 144 = 0 0 + 82x = 20 + 144 82x = 20 + 144 Combine like terms: 20 + 144 = 164 82x = 164 Divide each side by '82'. x = 2 Simplifying x = 2
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