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Simplifying x + 8 = 5x + -12 Reorder the terms: 8 + x = 5x + -12 Reorder the terms: 8 + x = -12 + 5x Solving 8 + x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + x + -5x = -12 + 5x + -5x Combine like terms: x + -5x = -4x 8 + -4x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -4x = -12 + 0 8 + -4x = -12 Add '-8' to each side of the equation. 8 + -8 + -4x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -12 + -8 -4x = -12 + -8 Combine like terms: -12 + -8 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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