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Simplifying 14 + 4x + -22 = -9(2 + -1x) + 5x Reorder the terms: 14 + -22 + 4x = -9(2 + -1x) + 5x Combine like terms: 14 + -22 = -8 -8 + 4x = -9(2 + -1x) + 5x -8 + 4x = (2 * -9 + -1x * -9) + 5x -8 + 4x = (-18 + 9x) + 5x Combine like terms: 9x + 5x = 14x -8 + 4x = -18 + 14x Solving -8 + 4x = -18 + 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. -8 + 4x + -14x = -18 + 14x + -14x Combine like terms: 4x + -14x = -10x -8 + -10x = -18 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -10x = -18 + 0 -8 + -10x = -18 Add '8' to each side of the equation. -8 + 8 + -10x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = -18 + 8 -10x = -18 + 8 Combine like terms: -18 + 8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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