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Simplifying 2(3x + -3) = 3(4x + -2) Reorder the terms: 2(-3 + 3x) = 3(4x + -2) (-3 * 2 + 3x * 2) = 3(4x + -2) (-6 + 6x) = 3(4x + -2) Reorder the terms: -6 + 6x = 3(-2 + 4x) -6 + 6x = (-2 * 3 + 4x * 3) -6 + 6x = (-6 + 12x) Add '6' to each side of the equation. -6 + 6 + 6x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 0 + 6x = -6 + 6 + 12x 6x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 6x = 0 + 12x 6x = 12x Solving 6x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x -6x = 12x + -12x Combine like terms: 12x + -12x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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