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Simplifying 2(9x + -1) = -3(5 + -9x) + 2 Reorder the terms: 2(-1 + 9x) = -3(5 + -9x) + 2 (-1 * 2 + 9x * 2) = -3(5 + -9x) + 2 (-2 + 18x) = -3(5 + -9x) + 2 -2 + 18x = (5 * -3 + -9x * -3) + 2 -2 + 18x = (-15 + 27x) + 2 Reorder the terms: -2 + 18x = -15 + 2 + 27x Combine like terms: -15 + 2 = -13 -2 + 18x = -13 + 27x Solving -2 + 18x = -13 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -2 + 18x + -27x = -13 + 27x + -27x Combine like terms: 18x + -27x = -9x -2 + -9x = -13 + 27x + -27x Combine like terms: 27x + -27x = 0 -2 + -9x = -13 + 0 -2 + -9x = -13 Add '2' to each side of the equation. -2 + 2 + -9x = -13 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -13 + 2 -9x = -13 + 2 Combine like terms: -13 + 2 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222
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