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Simplifying -5x + -6(3 + -1x) = 12 + 6x -5x + (3 * -6 + -1x * -6) = 12 + 6x -5x + (-18 + 6x) = 12 + 6x Reorder the terms: -18 + -5x + 6x = 12 + 6x Combine like terms: -5x + 6x = 1x -18 + 1x = 12 + 6x Solving -18 + 1x = 12 + 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. -18 + 1x + -6x = 12 + 6x + -6x Combine like terms: 1x + -6x = -5x -18 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -5x = 12 + 0 -18 + -5x = 12 Add '18' to each side of the equation. -18 + 18 + -5x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 12 + 18 -5x = 12 + 18 Combine like terms: 12 + 18 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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