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Simplifying 2(x + 4) + 3 = 9x + 2(x + 3) Reorder the terms: 2(4 + x) + 3 = 9x + 2(x + 3) (4 * 2 + x * 2) + 3 = 9x + 2(x + 3) (8 + 2x) + 3 = 9x + 2(x + 3) Reorder the terms: 8 + 3 + 2x = 9x + 2(x + 3) Combine like terms: 8 + 3 = 11 11 + 2x = 9x + 2(x + 3) Reorder the terms: 11 + 2x = 9x + 2(3 + x) 11 + 2x = 9x + (3 * 2 + x * 2) 11 + 2x = 9x + (6 + 2x) Reorder the terms: 11 + 2x = 6 + 9x + 2x Combine like terms: 9x + 2x = 11x 11 + 2x = 6 + 11x Solving 11 + 2x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 11 + 2x + -11x = 6 + 11x + -11x Combine like terms: 2x + -11x = -9x 11 + -9x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 11 + -9x = 6 + 0 11 + -9x = 6 Add '-11' to each side of the equation. 11 + -11 + -9x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = 6 + -11 -9x = 6 + -11 Combine like terms: 6 + -11 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556
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