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Simplifying 3(3x + -2) = 3(6x + 4) Reorder the terms: 3(-2 + 3x) = 3(6x + 4) (-2 * 3 + 3x * 3) = 3(6x + 4) (-6 + 9x) = 3(6x + 4) Reorder the terms: -6 + 9x = 3(4 + 6x) -6 + 9x = (4 * 3 + 6x * 3) -6 + 9x = (12 + 18x) Solving -6 + 9x = 12 + 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. -6 + 9x + -18x = 12 + 18x + -18x Combine like terms: 9x + -18x = -9x -6 + -9x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -9x = 12 + 0 -6 + -9x = 12 Add '6' to each side of the equation. -6 + 6 + -9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 12 + 6 -9x = 12 + 6 Combine like terms: 12 + 6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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