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Simplifying 9(4x + -1) = 2(9x + 2) Reorder the terms: 9(-1 + 4x) = 2(9x + 2) (-1 * 9 + 4x * 9) = 2(9x + 2) (-9 + 36x) = 2(9x + 2) Reorder the terms: -9 + 36x = 2(2 + 9x) -9 + 36x = (2 * 2 + 9x * 2) -9 + 36x = (4 + 18x) Solving -9 + 36x = 4 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -9 + 36x + -18x = 4 + 18x + -18x Combine like terms: 36x + -18x = 18x -9 + 18x = 4 + 18x + -18x Combine like terms: 18x + -18x = 0 -9 + 18x = 4 + 0 -9 + 18x = 4 Add '9' to each side of the equation. -9 + 9 + 18x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 18x = 4 + 9 18x = 4 + 9 Combine like terms: 4 + 9 = 13 18x = 13 Divide each side by '18'. x = 0.7222222222 Simplifying x = 0.7222222222
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