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Simplifying 5(7x + -9) + -1(10 + -12x) = 20 + 11x Reorder the terms: 5(-9 + 7x) + -1(10 + -12x) = 20 + 11x (-9 * 5 + 7x * 5) + -1(10 + -12x) = 20 + 11x (-45 + 35x) + -1(10 + -12x) = 20 + 11x -45 + 35x + (10 * -1 + -12x * -1) = 20 + 11x -45 + 35x + (-10 + 12x) = 20 + 11x Reorder the terms: -45 + -10 + 35x + 12x = 20 + 11x Combine like terms: -45 + -10 = -55 -55 + 35x + 12x = 20 + 11x Combine like terms: 35x + 12x = 47x -55 + 47x = 20 + 11x Solving -55 + 47x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -55 + 47x + -11x = 20 + 11x + -11x Combine like terms: 47x + -11x = 36x -55 + 36x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 -55 + 36x = 20 + 0 -55 + 36x = 20 Add '55' to each side of the equation. -55 + 55 + 36x = 20 + 55 Combine like terms: -55 + 55 = 0 0 + 36x = 20 + 55 36x = 20 + 55 Combine like terms: 20 + 55 = 75 36x = 75 Divide each side by '36'. x = 2.083333333 Simplifying x = 2.083333333
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