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Simplifying 6(3x + -1) = 2(6x + -3) Reorder the terms: 6(-1 + 3x) = 2(6x + -3) (-1 * 6 + 3x * 6) = 2(6x + -3) (-6 + 18x) = 2(6x + -3) Reorder the terms: -6 + 18x = 2(-3 + 6x) -6 + 18x = (-3 * 2 + 6x * 2) -6 + 18x = (-6 + 12x) Add '6' to each side of the equation. -6 + 6 + 18x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 0 + 18x = -6 + 6 + 12x 18x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 18x = 0 + 12x 18x = 12x Solving 18x = 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. 18x + -12x = 12x + -12x Combine like terms: 18x + -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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