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Simplifying 5x + 9 + -1x + -11 = 2x + 12 Reorder the terms: 9 + -11 + 5x + -1x = 2x + 12 Combine like terms: 9 + -11 = -2 -2 + 5x + -1x = 2x + 12 Combine like terms: 5x + -1x = 4x -2 + 4x = 2x + 12 Reorder the terms: -2 + 4x = 12 + 2x Solving -2 + 4x = 12 + 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. -2 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = 12 + 0 -2 + 2x = 12 Add '2' to each side of the equation. -2 + 2 + 2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 12 + 2 2x = 12 + 2 Combine like terms: 12 + 2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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