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