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Simplifying 4(3x + -9) + 10 = 5x + -8 Reorder the terms: 4(-9 + 3x) + 10 = 5x + -8 (-9 * 4 + 3x * 4) + 10 = 5x + -8 (-36 + 12x) + 10 = 5x + -8 Reorder the terms: -36 + 10 + 12x = 5x + -8 Combine like terms: -36 + 10 = -26 -26 + 12x = 5x + -8 Reorder the terms: -26 + 12x = -8 + 5x Solving -26 + 12x = -8 + 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. -26 + 12x + -5x = -8 + 5x + -5x Combine like terms: 12x + -5x = 7x -26 + 7x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -26 + 7x = -8 + 0 -26 + 7x = -8 Add '26' to each side of the equation. -26 + 26 + 7x = -8 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = -8 + 26 7x = -8 + 26 Combine like terms: -8 + 26 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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