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Simplifying 9(x + -5) + 7(x + 9) = 14x Reorder the terms: 9(-5 + x) + 7(x + 9) = 14x (-5 * 9 + x * 9) + 7(x + 9) = 14x (-45 + 9x) + 7(x + 9) = 14x Reorder the terms: -45 + 9x + 7(9 + x) = 14x -45 + 9x + (9 * 7 + x * 7) = 14x -45 + 9x + (63 + 7x) = 14x Reorder the terms: -45 + 63 + 9x + 7x = 14x Combine like terms: -45 + 63 = 18 18 + 9x + 7x = 14x Combine like terms: 9x + 7x = 16x 18 + 16x = 14x Solving 18 + 16x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 18 + 16x + -14x = 14x + -14x Combine like terms: 16x + -14x = 2x 18 + 2x = 14x + -14x Combine like terms: 14x + -14x = 0 18 + 2x = 0 Add '-18' to each side of the equation. 18 + -18 + 2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 0 + -18 2x = 0 + -18 Combine like terms: 0 + -18 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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