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Simplifying 2(3x + -1) = 9(6x + -9) Reorder the terms: 2(-1 + 3x) = 9(6x + -9) (-1 * 2 + 3x * 2) = 9(6x + -9) (-2 + 6x) = 9(6x + -9) Reorder the terms: -2 + 6x = 9(-9 + 6x) -2 + 6x = (-9 * 9 + 6x * 9) -2 + 6x = (-81 + 54x) Solving -2 + 6x = -81 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -2 + 6x + -54x = -81 + 54x + -54x Combine like terms: 6x + -54x = -48x -2 + -48x = -81 + 54x + -54x Combine like terms: 54x + -54x = 0 -2 + -48x = -81 + 0 -2 + -48x = -81 Add '2' to each side of the equation. -2 + 2 + -48x = -81 + 2 Combine like terms: -2 + 2 = 0 0 + -48x = -81 + 2 -48x = -81 + 2 Combine like terms: -81 + 2 = -79 -48x = -79 Divide each side by '-48'. x = 1.645833333 Simplifying x = 1.645833333
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