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Simplifying -2(x + 6) = x + 3 + 2x Reorder the terms: -2(6 + x) = x + 3 + 2x (6 * -2 + x * -2) = x + 3 + 2x (-12 + -2x) = x + 3 + 2x Reorder the terms: -12 + -2x = 3 + x + 2x Combine like terms: x + 2x = 3x -12 + -2x = 3 + 3x Solving -12 + -2x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -2x + -3x = 3 + 3x + -3x Combine like terms: -2x + -3x = -5x -12 + -5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -5x = 3 + 0 -12 + -5x = 3 Add '12' to each side of the equation. -12 + 12 + -5x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 3 + 12 -5x = 3 + 12 Combine like terms: 3 + 12 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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