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