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Simplifying 9x + -2x = 14 + -9(-1x + -4) Combine like terms: 9x + -2x = 7x 7x = 14 + -9(-1x + -4) Reorder the terms: 7x = 14 + -9(-4 + -1x) 7x = 14 + (-4 * -9 + -1x * -9) 7x = 14 + (36 + 9x) Combine like terms: 14 + 36 = 50 7x = 50 + 9x Solving 7x = 50 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7x + -9x = 50 + 9x + -9x Combine like terms: 7x + -9x = -2x -2x = 50 + 9x + -9x Combine like terms: 9x + -9x = 0 -2x = 50 + 0 -2x = 50 Divide each side by '-2'. x = -25 Simplifying x = -25
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