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Simplifying 12x + -48 = 20x + -40 + -1(15x + -45) Reorder the terms: -48 + 12x = 20x + -40 + -1(15x + -45) Reorder the terms: -48 + 12x = 20x + -40 + -1(-45 + 15x) -48 + 12x = 20x + -40 + (-45 * -1 + 15x * -1) -48 + 12x = 20x + -40 + (45 + -15x) Reorder the terms: -48 + 12x = -40 + 45 + 20x + -15x Combine like terms: -40 + 45 = 5 -48 + 12x = 5 + 20x + -15x Combine like terms: 20x + -15x = 5x -48 + 12x = 5 + 5x Solving -48 + 12x = 5 + 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. -48 + 12x + -5x = 5 + 5x + -5x Combine like terms: 12x + -5x = 7x -48 + 7x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 7x = 5 + 0 -48 + 7x = 5 Add '48' to each side of the equation. -48 + 48 + 7x = 5 + 48 Combine like terms: -48 + 48 = 0 0 + 7x = 5 + 48 7x = 5 + 48 Combine like terms: 5 + 48 = 53 7x = 53 Divide each side by '7'. x = 7.571428571 Simplifying x = 7.571428571
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