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Simplifying -6(x + 2) = 2(x + -7) + 2 Reorder the terms: -6(2 + x) = 2(x + -7) + 2 (2 * -6 + x * -6) = 2(x + -7) + 2 (-12 + -6x) = 2(x + -7) + 2 Reorder the terms: -12 + -6x = 2(-7 + x) + 2 -12 + -6x = (-7 * 2 + x * 2) + 2 -12 + -6x = (-14 + 2x) + 2 Reorder the terms: -12 + -6x = -14 + 2 + 2x Combine like terms: -14 + 2 = -12 -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 = -8x -8x = 2x + -2x Combine like terms: 2x + -2x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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