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Simplifying -36 + 2x = -2(x + 6) Reorder the terms: -36 + 2x = -2(6 + x) -36 + 2x = (6 * -2 + x * -2) -36 + 2x = (-12 + -2x) Solving -36 + 2x = -12 + -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. -36 + 2x + 2x = -12 + -2x + 2x Combine like terms: 2x + 2x = 4x -36 + 4x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 4x = -12 + 0 -36 + 4x = -12 Add '36' to each side of the equation. -36 + 36 + 4x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -12 + 36 4x = -12 + 36 Combine like terms: -12 + 36 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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