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Simplifying (-5x) + 6 = 6x + 12 + -5x Reorder the terms: 6 + (-5x) = 6x + 12 + -5x Reorder the terms: 6 + (-5x) = 12 + 6x + -5x Combine like terms: 6x + -5x = 1x 6 + (-5x) = 12 + 1x Solving 6 + (-5x) = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + (-5x) + -1x = 12 + 1x + -1x Combine like terms: (-5x) + -1x = -6x 6 + -6x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -6x = 12 + 0 6 + -6x = 12 Add '-6' to each side of the equation. 6 + -6 + -6x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 12 + -6 -6x = 12 + -6 Combine like terms: 12 + -6 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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