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