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Simplifying 7(5x + -9) = 12 + -1(x + -9) Reorder the terms: 7(-9 + 5x) = 12 + -1(x + -9) (-9 * 7 + 5x * 7) = 12 + -1(x + -9) (-63 + 35x) = 12 + -1(x + -9) Reorder the terms: -63 + 35x = 12 + -1(-9 + x) -63 + 35x = 12 + (-9 * -1 + x * -1) -63 + 35x = 12 + (9 + -1x) Combine like terms: 12 + 9 = 21 -63 + 35x = 21 + -1x Solving -63 + 35x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -63 + 35x + x = 21 + -1x + x Combine like terms: 35x + x = 36x -63 + 36x = 21 + -1x + x Combine like terms: -1x + x = 0 -63 + 36x = 21 + 0 -63 + 36x = 21 Add '63' to each side of the equation. -63 + 63 + 36x = 21 + 63 Combine like terms: -63 + 63 = 0 0 + 36x = 21 + 63 36x = 21 + 63 Combine like terms: 21 + 63 = 84 36x = 84 Divide each side by '36'. x = 2.333333333 Simplifying x = 2.333333333
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