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Simplifying 7x + -15 = 10 + -3(11x + -12) + -2[4x + -5(7 + -9x) + -4(11x + -9)] + -9 Reorder the terms: -15 + 7x = 10 + -3(11x + -12) + -2[4x + -5(7 + -9x) + -4(11x + -9)] + -9 Reorder the terms: -15 + 7x = 10 + -3(-12 + 11x) + -2[4x + -5(7 + -9x) + -4(11x + -9)] + -9 -15 + 7x = 10 + (-12 * -3 + 11x * -3) + -2[4x + -5(7 + -9x) + -4(11x + -9)] + -9 -15 + 7x = 10 + (36 + -33x) + -2[4x + -5(7 + -9x) + -4(11x + -9)] + -9 -15 + 7x = 10 + 36 + -33x + -2[4x + (7 * -5 + -9x * -5) + -4(11x + -9)] + -9 -15 + 7x = 10 + 36 + -33x + -2[4x + (-35 + 45x) + -4(11x + -9)] + -9 Reorder the terms: -15 + 7x = 10 + 36 + -33x + -2[4x + -35 + 45x + -4(-9 + 11x)] + -9 -15 + 7x = 10 + 36 + -33x + -2[4x + -35 + 45x + (-9 * -4 + 11x * -4)] + -9 -15 + 7x = 10 + 36 + -33x + -2[4x + -35 + 45x + (36 + -44x)] + -9 Reorder the terms: -15 + 7x = 10 + 36 + -33x + -2[-35 + 36 + 4x + 45x + -44x] + -9 Combine like terms: -35 + 36 = 1 -15 + 7x = 10 + 36 + -33x + -2[1 + 4x + 45x + -44x] + -9 Combine like terms: 4x + 45x = 49x -15 + 7x = 10 + 36 + -33x + -2[1 + 49x + -44x] + -9 Combine like terms: 49x + -44x = 5x -15 + 7x = 10 + 36 + -33x + -2[1 + 5x] + -9 -15 + 7x = 10 + 36 + -33x + [1 * -2 + 5x * -2] + -9 -15 + 7x = 10 + 36 + -33x + [-2 + -10x] + -9 Reorder the terms: -15 + 7x = 10 + 36 + -2 + -9 + -33x + -10x Combine like terms: 10 + 36 = 46 -15 + 7x = 46 + -2 + -9 + -33x + -10x Combine like terms: 46 + -2 = 44 -15 + 7x = 44 + -9 + -33x + -10x Combine like terms: 44 + -9 = 35 -15 + 7x = 35 + -33x + -10x Combine like terms: -33x + -10x = -43x -15 + 7x = 35 + -43x Solving -15 + 7x = 35 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. -15 + 7x + 43x = 35 + -43x + 43x Combine like terms: 7x + 43x = 50x -15 + 50x = 35 + -43x + 43x Combine like terms: -43x + 43x = 0 -15 + 50x = 35 + 0 -15 + 50x = 35 Add '15' to each side of the equation. -15 + 15 + 50x = 35 + 15 Combine like terms: -15 + 15 = 0 0 + 50x = 35 + 15 50x = 35 + 15 Combine like terms: 35 + 15 = 50 50x = 50 Divide each side by '50'. x = 1 Simplifying x = 1
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