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Simplifying 10(x + 1) = 9(x + 6) Reorder the terms: 10(1 + x) = 9(x + 6) (1 * 10 + x * 10) = 9(x + 6) (10 + 10x) = 9(x + 6) Reorder the terms: 10 + 10x = 9(6 + x) 10 + 10x = (6 * 9 + x * 9) 10 + 10x = (54 + 9x) Solving 10 + 10x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 10x + -9x = 54 + 9x + -9x Combine like terms: 10x + -9x = 1x 10 + 1x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 1x = 54 + 0 10 + 1x = 54 Add '-10' to each side of the equation. 10 + -10 + 1x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 54 + -10 1x = 54 + -10 Combine like terms: 54 + -10 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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