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Simplifying x + -2 = -3(x + 6) Reorder the terms: -2 + x = -3(x + 6) Reorder the terms: -2 + x = -3(6 + x) -2 + x = (6 * -3 + x * -3) -2 + x = (-18 + -3x) Solving -2 + x = -18 + -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. -2 + x + 3x = -18 + -3x + 3x Combine like terms: x + 3x = 4x -2 + 4x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 4x = -18 + 0 -2 + 4x = -18 Add '2' to each side of the equation. -2 + 2 + 4x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -18 + 2 4x = -18 + 2 Combine like terms: -18 + 2 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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