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Simplifying 7(x + -9) + -9 = 32x + -372 Reorder the terms: 7(-9 + x) + -9 = 32x + -372 (-9 * 7 + x * 7) + -9 = 32x + -372 (-63 + 7x) + -9 = 32x + -372 Reorder the terms: -63 + -9 + 7x = 32x + -372 Combine like terms: -63 + -9 = -72 -72 + 7x = 32x + -372 Reorder the terms: -72 + 7x = -372 + 32x Solving -72 + 7x = -372 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -72 + 7x + -32x = -372 + 32x + -32x Combine like terms: 7x + -32x = -25x -72 + -25x = -372 + 32x + -32x Combine like terms: 32x + -32x = 0 -72 + -25x = -372 + 0 -72 + -25x = -372 Add '72' to each side of the equation. -72 + 72 + -25x = -372 + 72 Combine like terms: -72 + 72 = 0 0 + -25x = -372 + 72 -25x = -372 + 72 Combine like terms: -372 + 72 = -300 -25x = -300 Divide each side by '-25'. x = 12 Simplifying x = 12
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