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Simplifying 22x + 3(3x + -19) + -1(11x + -15) = 25 + -1(17 + -13x) Reorder the terms: 22x + 3(-19 + 3x) + -1(11x + -15) = 25 + -1(17 + -13x) 22x + (-19 * 3 + 3x * 3) + -1(11x + -15) = 25 + -1(17 + -13x) 22x + (-57 + 9x) + -1(11x + -15) = 25 + -1(17 + -13x) Reorder the terms: 22x + -57 + 9x + -1(-15 + 11x) = 25 + -1(17 + -13x) 22x + -57 + 9x + (-15 * -1 + 11x * -1) = 25 + -1(17 + -13x) 22x + -57 + 9x + (15 + -11x) = 25 + -1(17 + -13x) Reorder the terms: -57 + 15 + 22x + 9x + -11x = 25 + -1(17 + -13x) Combine like terms: -57 + 15 = -42 -42 + 22x + 9x + -11x = 25 + -1(17 + -13x) Combine like terms: 22x + 9x = 31x -42 + 31x + -11x = 25 + -1(17 + -13x) Combine like terms: 31x + -11x = 20x -42 + 20x = 25 + -1(17 + -13x) -42 + 20x = 25 + (17 * -1 + -13x * -1) -42 + 20x = 25 + (-17 + 13x) Combine like terms: 25 + -17 = 8 -42 + 20x = 8 + 13x Solving -42 + 20x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -42 + 20x + -13x = 8 + 13x + -13x Combine like terms: 20x + -13x = 7x -42 + 7x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 -42 + 7x = 8 + 0 -42 + 7x = 8 Add '42' to each side of the equation. -42 + 42 + 7x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 8 + 42 7x = 8 + 42 Combine like terms: 8 + 42 = 50 7x = 50 Divide each side by '7'. x = 7.142857143 Simplifying x = 7.142857143
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