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Simplifying 9(x + 6) = 2(x + 55) Reorder the terms: 9(6 + x) = 2(x + 55) (6 * 9 + x * 9) = 2(x + 55) (54 + 9x) = 2(x + 55) Reorder the terms: 54 + 9x = 2(55 + x) 54 + 9x = (55 * 2 + x * 2) 54 + 9x = (110 + 2x) Solving 54 + 9x = 110 + 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. 54 + 9x + -2x = 110 + 2x + -2x Combine like terms: 9x + -2x = 7x 54 + 7x = 110 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + 7x = 110 + 0 54 + 7x = 110 Add '-54' to each side of the equation. 54 + -54 + 7x = 110 + -54 Combine like terms: 54 + -54 = 0 0 + 7x = 110 + -54 7x = 110 + -54 Combine like terms: 110 + -54 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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