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Simplifying 5(20 + -1x) + -4(2x + -1) = 0 (20 * 5 + -1x * 5) + -4(2x + -1) = 0 (100 + -5x) + -4(2x + -1) = 0 Reorder the terms: 100 + -5x + -4(-1 + 2x) = 0 100 + -5x + (-1 * -4 + 2x * -4) = 0 100 + -5x + (4 + -8x) = 0 Reorder the terms: 100 + 4 + -5x + -8x = 0 Combine like terms: 100 + 4 = 104 104 + -5x + -8x = 0 Combine like terms: -5x + -8x = -13x 104 + -13x = 0 Solving 104 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + -13x = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -13x = 0 + -104 -13x = 0 + -104 Combine like terms: 0 + -104 = -104 -13x = -104 Divide each side by '-13'. x = 8 Simplifying x = 8
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