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Simplifying 10x + 9 + -9x = 14x + -9 + 5x Reorder the terms: 9 + 10x + -9x = 14x + -9 + 5x Combine like terms: 10x + -9x = 1x 9 + 1x = 14x + -9 + 5x Reorder the terms: 9 + 1x = -9 + 14x + 5x Combine like terms: 14x + 5x = 19x 9 + 1x = -9 + 19x Solving 9 + 1x = -9 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 9 + 1x + -19x = -9 + 19x + -19x Combine like terms: 1x + -19x = -18x 9 + -18x = -9 + 19x + -19x Combine like terms: 19x + -19x = 0 9 + -18x = -9 + 0 9 + -18x = -9 Add '-9' to each side of the equation. 9 + -9 + -18x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -18x = -9 + -9 -18x = -9 + -9 Combine like terms: -9 + -9 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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