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Simplifying 5x + 8 + -12x = -6x Reorder the terms: 8 + 5x + -12x = -6x Combine like terms: 5x + -12x = -7x 8 + -7x = -6x Solving 8 + -7x = -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. 8 + -7x + 6x = -6x + 6x Combine like terms: -7x + 6x = -1x 8 + -1x = -6x + 6x Combine like terms: -6x + 6x = 0 8 + -1x = 0 Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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