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Simplifying 3(3x + -2) = 3(2x + 1) Reorder the terms: 3(-2 + 3x) = 3(2x + 1) (-2 * 3 + 3x * 3) = 3(2x + 1) (-6 + 9x) = 3(2x + 1) Reorder the terms: -6 + 9x = 3(1 + 2x) -6 + 9x = (1 * 3 + 2x * 3) -6 + 9x = (3 + 6x) Solving -6 + 9x = 3 + 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 = 3 + 6x + -6x Combine like terms: 9x + -6x = 3x -6 + 3x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 3x = 3 + 0 -6 + 3x = 3 Add '6' to each side of the equation. -6 + 6 + 3x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 3 + 6 3x = 3 + 6 Combine like terms: 3 + 6 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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