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Simplifying -1x + -10 + 8 = 4x + -12 Reorder the terms: -10 + 8 + -1x = 4x + -12 Combine like terms: -10 + 8 = -2 -2 + -1x = 4x + -12 Reorder the terms: -2 + -1x = -12 + 4x Solving -2 + -1x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -1x + -4x = -12 + 4x + -4x Combine like terms: -1x + -4x = -5x -2 + -5x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -5x = -12 + 0 -2 + -5x = -12 Add '2' to each side of the equation. -2 + 2 + -5x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -12 + 2 -5x = -12 + 2 Combine like terms: -12 + 2 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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