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Simplifying -6(x + 2) = (x + -7) + 2 Reorder the terms: -6(2 + x) = (x + -7) + 2 (2 * -6 + x * -6) = (x + -7) + 2 (-12 + -6x) = (x + -7) + 2 Reorder the terms: -12 + -6x = (-7 + x) + 2 Remove parenthesis around (-7 + x) -12 + -6x = -7 + x + 2 Reorder the terms: -12 + -6x = -7 + 2 + x Combine like terms: -7 + 2 = -5 -12 + -6x = -5 + x Solving -12 + -6x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -6x + -1x = -5 + x + -1x Combine like terms: -6x + -1x = -7x -12 + -7x = -5 + x + -1x Combine like terms: x + -1x = 0 -12 + -7x = -5 + 0 -12 + -7x = -5 Add '12' to each side of the equation. -12 + 12 + -7x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -5 + 12 -7x = -5 + 12 Combine like terms: -5 + 12 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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