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Simplifying 9(x + 5) = 2(x + 47) Reorder the terms: 9(5 + x) = 2(x + 47) (5 * 9 + x * 9) = 2(x + 47) (45 + 9x) = 2(x + 47) Reorder the terms: 45 + 9x = 2(47 + x) 45 + 9x = (47 * 2 + x * 2) 45 + 9x = (94 + 2x) Solving 45 + 9x = 94 + 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. 45 + 9x + -2x = 94 + 2x + -2x Combine like terms: 9x + -2x = 7x 45 + 7x = 94 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 7x = 94 + 0 45 + 7x = 94 Add '-45' to each side of the equation. 45 + -45 + 7x = 94 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 94 + -45 7x = 94 + -45 Combine like terms: 94 + -45 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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