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Simplifying 4(3x + -1) = 5(x + -10) Reorder the terms: 4(-1 + 3x) = 5(x + -10) (-1 * 4 + 3x * 4) = 5(x + -10) (-4 + 12x) = 5(x + -10) Reorder the terms: -4 + 12x = 5(-10 + x) -4 + 12x = (-10 * 5 + x * 5) -4 + 12x = (-50 + 5x) Solving -4 + 12x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 12x + -5x = -50 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x = -50 + 0 -4 + 7x = -50 Add '4' to each side of the equation. -4 + 4 + 7x = -50 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -50 + 4 7x = -50 + 4 Combine like terms: -50 + 4 = -46 7x = -46 Divide each side by '7'. x = -6.571428571 Simplifying x = -6.571428571
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