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Simplifying 3(5x + -12) = 1 + -1(20x + 1) Reorder the terms: 3(-12 + 5x) = 1 + -1(20x + 1) (-12 * 3 + 5x * 3) = 1 + -1(20x + 1) (-36 + 15x) = 1 + -1(20x + 1) Reorder the terms: -36 + 15x = 1 + -1(1 + 20x) -36 + 15x = 1 + (1 * -1 + 20x * -1) -36 + 15x = 1 + (-1 + -20x) Combine like terms: 1 + -1 = 0 -36 + 15x = 0 + -20x -36 + 15x = -20x Solving -36 + 15x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -36 + 15x + 20x = -20x + 20x Combine like terms: 15x + 20x = 35x -36 + 35x = -20x + 20x Combine like terms: -20x + 20x = 0 -36 + 35x = 0 Add '36' to each side of the equation. -36 + 36 + 35x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 35x = 0 + 36 35x = 0 + 36 Combine like terms: 0 + 36 = 36 35x = 36 Divide each side by '35'. x = 1.028571429 Simplifying x = 1.028571429
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