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Simplifying 4(3x + -1(5x + -8)) = 20 + -4x Reorder the terms: 4(3x + -1(-8 + 5x)) = 20 + -4x 4(3x + (-8 * -1 + 5x * -1)) = 20 + -4x 4(3x + (8 + -5x)) = 20 + -4x Reorder the terms: 4(8 + 3x + -5x) = 20 + -4x Combine like terms: 3x + -5x = -2x 4(8 + -2x) = 20 + -4x (8 * 4 + -2x * 4) = 20 + -4x (32 + -8x) = 20 + -4x Solving 32 + -8x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 32 + -8x + 4x = 20 + -4x + 4x Combine like terms: -8x + 4x = -4x 32 + -4x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + -4x = 20 + 0 32 + -4x = 20 Add '-32' to each side of the equation. 32 + -32 + -4x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 20 + -32 -4x = 20 + -32 Combine like terms: 20 + -32 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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