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Simplifying 10(8x + 1) = 9(10x + 1) Reorder the terms: 10(1 + 8x) = 9(10x + 1) (1 * 10 + 8x * 10) = 9(10x + 1) (10 + 80x) = 9(10x + 1) Reorder the terms: 10 + 80x = 9(1 + 10x) 10 + 80x = (1 * 9 + 10x * 9) 10 + 80x = (9 + 90x) Solving 10 + 80x = 9 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 10 + 80x + -90x = 9 + 90x + -90x Combine like terms: 80x + -90x = -10x 10 + -10x = 9 + 90x + -90x Combine like terms: 90x + -90x = 0 10 + -10x = 9 + 0 10 + -10x = 9 Add '-10' to each side of the equation. 10 + -10 + -10x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 9 + -10 -10x = 9 + -10 Combine like terms: 9 + -10 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1
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