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Simplifying 2x + 5 + -5x = 9 + -2x + 10 Reorder the terms: 5 + 2x + -5x = 9 + -2x + 10 Combine like terms: 2x + -5x = -3x 5 + -3x = 9 + -2x + 10 Reorder the terms: 5 + -3x = 9 + 10 + -2x Combine like terms: 9 + 10 = 19 5 + -3x = 19 + -2x Solving 5 + -3x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + -3x + 2x = 19 + -2x + 2x Combine like terms: -3x + 2x = -1x 5 + -1x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -1x = 19 + 0 5 + -1x = 19 Add '-5' to each side of the equation. 5 + -5 + -1x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 19 + -5 -1x = 19 + -5 Combine like terms: 19 + -5 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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