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Simplifying 2x + 9(x + 5) = 11x + 9(1 + 4x) Reorder the terms: 2x + 9(5 + x) = 11x + 9(1 + 4x) 2x + (5 * 9 + x * 9) = 11x + 9(1 + 4x) 2x + (45 + 9x) = 11x + 9(1 + 4x) Reorder the terms: 45 + 2x + 9x = 11x + 9(1 + 4x) Combine like terms: 2x + 9x = 11x 45 + 11x = 11x + 9(1 + 4x) 45 + 11x = 11x + (1 * 9 + 4x * 9) 45 + 11x = 11x + (9 + 36x) Reorder the terms: 45 + 11x = 9 + 11x + 36x Combine like terms: 11x + 36x = 47x 45 + 11x = 9 + 47x Solving 45 + 11x = 9 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 45 + 11x + -47x = 9 + 47x + -47x Combine like terms: 11x + -47x = -36x 45 + -36x = 9 + 47x + -47x Combine like terms: 47x + -47x = 0 45 + -36x = 9 + 0 45 + -36x = 9 Add '-45' to each side of the equation. 45 + -45 + -36x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -36x = 9 + -45 -36x = 9 + -45 Combine like terms: 9 + -45 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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