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Simplifying -2(x + 2) = 6x + 36 Reorder the terms: -2(2 + x) = 6x + 36 (2 * -2 + x * -2) = 6x + 36 (-4 + -2x) = 6x + 36 Reorder the terms: -4 + -2x = 36 + 6x Solving -4 + -2x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -2x + -6x = 36 + 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = 36 + 0 -4 + -8x = 36 Add '4' to each side of the equation. -4 + 4 + -8x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 36 + 4 -8x = 36 + 4 Combine like terms: 36 + 4 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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