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Simplifying 6(3x + -2) = 2(2x + -6) Reorder the terms: 6(-2 + 3x) = 2(2x + -6) (-2 * 6 + 3x * 6) = 2(2x + -6) (-12 + 18x) = 2(2x + -6) Reorder the terms: -12 + 18x = 2(-6 + 2x) -12 + 18x = (-6 * 2 + 2x * 2) -12 + 18x = (-12 + 4x) Add '12' to each side of the equation. -12 + 12 + 18x = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 0 + 18x = -12 + 12 + 4x 18x = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 18x = 0 + 4x 18x = 4x Solving 18x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18x + -4x = 4x + -4x Combine like terms: 18x + -4x = 14x 14x = 4x + -4x Combine like terms: 4x + -4x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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