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Simplifying 20x + -1(3 + 5x) = 4(2x + 1) 20x + (3 * -1 + 5x * -1) = 4(2x + 1) 20x + (-3 + -5x) = 4(2x + 1) Reorder the terms: -3 + 20x + -5x = 4(2x + 1) Combine like terms: 20x + -5x = 15x -3 + 15x = 4(2x + 1) Reorder the terms: -3 + 15x = 4(1 + 2x) -3 + 15x = (1 * 4 + 2x * 4) -3 + 15x = (4 + 8x) Solving -3 + 15x = 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. -3 + 15x + -8x = 4 + 8x + -8x Combine like terms: 15x + -8x = 7x -3 + 7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 7x = 4 + 0 -3 + 7x = 4 Add '3' to each side of the equation. -3 + 3 + 7x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 4 + 3 7x = 4 + 3 Combine like terms: 4 + 3 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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