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Simplifying -5(x + 9) + -1(-7x + -9) = x Reorder the terms: -5(9 + x) + -1(-7x + -9) = x (9 * -5 + x * -5) + -1(-7x + -9) = x (-45 + -5x) + -1(-7x + -9) = x Reorder the terms: -45 + -5x + -1(-9 + -7x) = x -45 + -5x + (-9 * -1 + -7x * -1) = x -45 + -5x + (9 + 7x) = x Reorder the terms: -45 + 9 + -5x + 7x = x Combine like terms: -45 + 9 = -36 -36 + -5x + 7x = x Combine like terms: -5x + 7x = 2x -36 + 2x = x Solving -36 + 2x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -36 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x -36 + 1x = x + -1x Combine like terms: x + -1x = 0 -36 + 1x = 0 Add '36' to each side of the equation. -36 + 36 + 1x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = 0 + 36 1x = 0 + 36 Combine like terms: 0 + 36 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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