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Simplifying 1(6x + 1) = 3(9 + -1x) Reorder the terms: 1(1 + 6x) = 3(9 + -1x) (1 * 1 + 6x * 1) = 3(9 + -1x) (1 + 6x) = 3(9 + -1x) 1 + 6x = (9 * 3 + -1x * 3) 1 + 6x = (27 + -3x) Solving 1 + 6x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 6x + 3x = 27 + -3x + 3x Combine like terms: 6x + 3x = 9x 1 + 9x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 9x = 27 + 0 1 + 9x = 27 Add '-1' to each side of the equation. 1 + -1 + 9x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 27 + -1 9x = 27 + -1 Combine like terms: 27 + -1 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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