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Simplifying -2(x + 8) + 4(x + -8) = 20 Reorder the terms: -2(8 + x) + 4(x + -8) = 20 (8 * -2 + x * -2) + 4(x + -8) = 20 (-16 + -2x) + 4(x + -8) = 20 Reorder the terms: -16 + -2x + 4(-8 + x) = 20 -16 + -2x + (-8 * 4 + x * 4) = 20 -16 + -2x + (-32 + 4x) = 20 Reorder the terms: -16 + -32 + -2x + 4x = 20 Combine like terms: -16 + -32 = -48 -48 + -2x + 4x = 20 Combine like terms: -2x + 4x = 2x -48 + 2x = 20 Solving -48 + 2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 2x = 20 + 48 Combine like terms: -48 + 48 = 0 0 + 2x = 20 + 48 2x = 20 + 48 Combine like terms: 20 + 48 = 68 2x = 68 Divide each side by '2'. x = 34 Simplifying x = 34
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