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Simplifying 2(x + -6) + 2 = 4x + 2 + -12 Reorder the terms: 2(-6 + x) + 2 = 4x + 2 + -12 (-6 * 2 + x * 2) + 2 = 4x + 2 + -12 (-12 + 2x) + 2 = 4x + 2 + -12 Reorder the terms: -12 + 2 + 2x = 4x + 2 + -12 Combine like terms: -12 + 2 = -10 -10 + 2x = 4x + 2 + -12 Reorder the terms: -10 + 2x = 2 + -12 + 4x Combine like terms: 2 + -12 = -10 -10 + 2x = -10 + 4x Add '10' to each side of the equation. -10 + 10 + 2x = -10 + 10 + 4x Combine like terms: -10 + 10 = 0 0 + 2x = -10 + 10 + 4x 2x = -10 + 10 + 4x Combine like terms: -10 + 10 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 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. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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