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Simplifying -2x + 8 = 6x + 12 Reorder the terms: 8 + -2x = 6x + 12 Reorder the terms: 8 + -2x = 12 + 6x Solving 8 + -2x = 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. 8 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x 8 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -8x = 12 + 0 8 + -8x = 12 Add '-8' to each side of the equation. 8 + -8 + -8x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 12 + -8 -8x = 12 + -8 Combine like terms: 12 + -8 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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