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Simplifying 9x + -14 + 5x = 33 + -1x + -2 Reorder the terms: -14 + 9x + 5x = 33 + -1x + -2 Combine like terms: 9x + 5x = 14x -14 + 14x = 33 + -1x + -2 Reorder the terms: -14 + 14x = 33 + -2 + -1x Combine like terms: 33 + -2 = 31 -14 + 14x = 31 + -1x Solving -14 + 14x = 31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -14 + 14x + x = 31 + -1x + x Combine like terms: 14x + x = 15x -14 + 15x = 31 + -1x + x Combine like terms: -1x + x = 0 -14 + 15x = 31 + 0 -14 + 15x = 31 Add '14' to each side of the equation. -14 + 14 + 15x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 31 + 14 15x = 31 + 14 Combine like terms: 31 + 14 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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