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Simplifying 3(3x + -2) = 4 + -6x Reorder the terms: 3(-2 + 3x) = 4 + -6x (-2 * 3 + 3x * 3) = 4 + -6x (-6 + 9x) = 4 + -6x Solving -6 + 9x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 9x + 6x = 4 + -6x + 6x Combine like terms: 9x + 6x = 15x -6 + 15x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 15x = 4 + 0 -6 + 15x = 4 Add '6' to each side of the equation. -6 + 6 + 15x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 4 + 6 15x = 4 + 6 Combine like terms: 4 + 6 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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