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Simplifying 13 + 3x + -9 = 10x + -14 + -5x Reorder the terms: 13 + -9 + 3x = 10x + -14 + -5x Combine like terms: 13 + -9 = 4 4 + 3x = 10x + -14 + -5x Reorder the terms: 4 + 3x = -14 + 10x + -5x Combine like terms: 10x + -5x = 5x 4 + 3x = -14 + 5x Solving 4 + 3x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 3x + -5x = -14 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = -14 + 0 4 + -2x = -14 Add '-4' to each side of the equation. 4 + -4 + -2x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -14 + -4 -2x = -14 + -4 Combine like terms: -14 + -4 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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