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Simplifying 4x + -12 + 2x = 2(x + -6) Reorder the terms: -12 + 4x + 2x = 2(x + -6) Combine like terms: 4x + 2x = 6x -12 + 6x = 2(x + -6) Reorder the terms: -12 + 6x = 2(-6 + x) -12 + 6x = (-6 * 2 + x * 2) -12 + 6x = (-12 + 2x) Add '12' to each side of the equation. -12 + 12 + 6x = -12 + 12 + 2x Combine like terms: -12 + 12 = 0 0 + 6x = -12 + 12 + 2x 6x = -12 + 12 + 2x Combine like terms: -12 + 12 = 0 6x = 0 + 2x 6x = 2x Solving 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. 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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