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Simplifying 4(3x + -1) + -6 = 5(x + 2) Reorder the terms: 4(-1 + 3x) + -6 = 5(x + 2) (-1 * 4 + 3x * 4) + -6 = 5(x + 2) (-4 + 12x) + -6 = 5(x + 2) Reorder the terms: -4 + -6 + 12x = 5(x + 2) Combine like terms: -4 + -6 = -10 -10 + 12x = 5(x + 2) Reorder the terms: -10 + 12x = 5(2 + x) -10 + 12x = (2 * 5 + x * 5) -10 + 12x = (10 + 5x) Solving -10 + 12x = 10 + 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. -10 + 12x + -5x = 10 + 5x + -5x Combine like terms: 12x + -5x = 7x -10 + 7x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 7x = 10 + 0 -10 + 7x = 10 Add '10' to each side of the equation. -10 + 10 + 7x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 10 + 10 7x = 10 + 10 Combine like terms: 10 + 10 = 20 7x = 20 Divide each side by '7'. x = 2.857142857 Simplifying x = 2.857142857
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