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Simplifying 6x + -2 + -5x + 7 = 8x + 12 Reorder the terms: -2 + 7 + 6x + -5x = 8x + 12 Combine like terms: -2 + 7 = 5 5 + 6x + -5x = 8x + 12 Combine like terms: 6x + -5x = 1x 5 + 1x = 8x + 12 Reorder the terms: 5 + 1x = 12 + 8x Solving 5 + 1x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 1x + -8x = 12 + 8x + -8x Combine like terms: 1x + -8x = -7x 5 + -7x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -7x = 12 + 0 5 + -7x = 12 Add '-5' to each side of the equation. 5 + -5 + -7x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 12 + -5 -7x = 12 + -5 Combine like terms: 12 + -5 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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