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Simplifying 5x + 2 + 5x + 9 = 9x + 4 Reorder the terms: 2 + 9 + 5x + 5x = 9x + 4 Combine like terms: 2 + 9 = 11 11 + 5x + 5x = 9x + 4 Combine like terms: 5x + 5x = 10x 11 + 10x = 9x + 4 Reorder the terms: 11 + 10x = 4 + 9x Solving 11 + 10x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 10x + -9x = 4 + 9x + -9x Combine like terms: 10x + -9x = 1x 11 + 1x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + 1x = 4 + 0 11 + 1x = 4 Add '-11' to each side of the equation. 11 + -11 + 1x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 4 + -11 1x = 4 + -11 Combine like terms: 4 + -11 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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