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Simplifying 3(6x + -1) = 5(5x + -4) Reorder the terms: 3(-1 + 6x) = 5(5x + -4) (-1 * 3 + 6x * 3) = 5(5x + -4) (-3 + 18x) = 5(5x + -4) Reorder the terms: -3 + 18x = 5(-4 + 5x) -3 + 18x = (-4 * 5 + 5x * 5) -3 + 18x = (-20 + 25x) Solving -3 + 18x = -20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -3 + 18x + -25x = -20 + 25x + -25x Combine like terms: 18x + -25x = -7x -3 + -7x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 -3 + -7x = -20 + 0 -3 + -7x = -20 Add '3' to each side of the equation. -3 + 3 + -7x = -20 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -20 + 3 -7x = -20 + 3 Combine like terms: -20 + 3 = -17 -7x = -17 Divide each side by '-7'. x = 2.428571429 Simplifying x = 2.428571429
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