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Simplifying 5x + -11 + 2(2x + 3) = 2x + 9 Reorder the terms: 5x + -11 + 2(3 + 2x) = 2x + 9 5x + -11 + (3 * 2 + 2x * 2) = 2x + 9 5x + -11 + (6 + 4x) = 2x + 9 Reorder the terms: -11 + 6 + 5x + 4x = 2x + 9 Combine like terms: -11 + 6 = -5 -5 + 5x + 4x = 2x + 9 Combine like terms: 5x + 4x = 9x -5 + 9x = 2x + 9 Reorder the terms: -5 + 9x = 9 + 2x Solving -5 + 9x = 9 + 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 + 9x + -2x = 9 + 2x + -2x Combine like terms: 9x + -2x = 7x -5 + 7x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 7x = 9 + 0 -5 + 7x = 9 Add '5' to each side of the equation. -5 + 5 + 7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 9 + 5 7x = 9 + 5 Combine like terms: 9 + 5 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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