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Simplifying 3(6x + -1) = -4(5x + -2) + 1 Reorder the terms: 3(-1 + 6x) = -4(5x + -2) + 1 (-1 * 3 + 6x * 3) = -4(5x + -2) + 1 (-3 + 18x) = -4(5x + -2) + 1 Reorder the terms: -3 + 18x = -4(-2 + 5x) + 1 -3 + 18x = (-2 * -4 + 5x * -4) + 1 -3 + 18x = (8 + -20x) + 1 Reorder the terms: -3 + 18x = 8 + 1 + -20x Combine like terms: 8 + 1 = 9 -3 + 18x = 9 + -20x Solving -3 + 18x = 9 + -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. -3 + 18x + 20x = 9 + -20x + 20x Combine like terms: 18x + 20x = 38x -3 + 38x = 9 + -20x + 20x Combine like terms: -20x + 20x = 0 -3 + 38x = 9 + 0 -3 + 38x = 9 Add '3' to each side of the equation. -3 + 3 + 38x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 38x = 9 + 3 38x = 9 + 3 Combine like terms: 9 + 3 = 12 38x = 12 Divide each side by '38'. x = 0.3157894737 Simplifying x = 0.3157894737
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