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Simplifying 4x + 9 + -2x = 2x + -5 + x Reorder the terms: 9 + 4x + -2x = 2x + -5 + x Combine like terms: 4x + -2x = 2x 9 + 2x = 2x + -5 + x Reorder the terms: 9 + 2x = -5 + 2x + x Combine like terms: 2x + x = 3x 9 + 2x = -5 + 3x Solving 9 + 2x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 2x + -3x = -5 + 3x + -3x Combine like terms: 2x + -3x = -1x 9 + -1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -1x = -5 + 0 9 + -1x = -5 Add '-9' to each side of the equation. 9 + -9 + -1x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -5 + -9 -1x = -5 + -9 Combine like terms: -5 + -9 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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