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