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Simplifying 3(x + -2) + 7(9x + -3) = 5(9x + -7) + -12(x + -3) Reorder the terms: 3(-2 + x) + 7(9x + -3) = 5(9x + -7) + -12(x + -3) (-2 * 3 + x * 3) + 7(9x + -3) = 5(9x + -7) + -12(x + -3) (-6 + 3x) + 7(9x + -3) = 5(9x + -7) + -12(x + -3) Reorder the terms: -6 + 3x + 7(-3 + 9x) = 5(9x + -7) + -12(x + -3) -6 + 3x + (-3 * 7 + 9x * 7) = 5(9x + -7) + -12(x + -3) -6 + 3x + (-21 + 63x) = 5(9x + -7) + -12(x + -3) Reorder the terms: -6 + -21 + 3x + 63x = 5(9x + -7) + -12(x + -3) Combine like terms: -6 + -21 = -27 -27 + 3x + 63x = 5(9x + -7) + -12(x + -3) Combine like terms: 3x + 63x = 66x -27 + 66x = 5(9x + -7) + -12(x + -3) Reorder the terms: -27 + 66x = 5(-7 + 9x) + -12(x + -3) -27 + 66x = (-7 * 5 + 9x * 5) + -12(x + -3) -27 + 66x = (-35 + 45x) + -12(x + -3) Reorder the terms: -27 + 66x = -35 + 45x + -12(-3 + x) -27 + 66x = -35 + 45x + (-3 * -12 + x * -12) -27 + 66x = -35 + 45x + (36 + -12x) Reorder the terms: -27 + 66x = -35 + 36 + 45x + -12x Combine like terms: -35 + 36 = 1 -27 + 66x = 1 + 45x + -12x Combine like terms: 45x + -12x = 33x -27 + 66x = 1 + 33x Solving -27 + 66x = 1 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -27 + 66x + -33x = 1 + 33x + -33x Combine like terms: 66x + -33x = 33x -27 + 33x = 1 + 33x + -33x Combine like terms: 33x + -33x = 0 -27 + 33x = 1 + 0 -27 + 33x = 1 Add '27' to each side of the equation. -27 + 27 + 33x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 33x = 1 + 27 33x = 1 + 27 Combine like terms: 1 + 27 = 28 33x = 28 Divide each side by '33'. x = 0.8484848485 Simplifying x = 0.8484848485
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