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Simplifying -4x + 8 = -12 + x + -8 + -7 Reorder the terms: 8 + -4x = -12 + x + -8 + -7 Reorder the terms: 8 + -4x = -12 + -8 + -7 + x Combine like terms: -12 + -8 = -20 8 + -4x = -20 + -7 + x Combine like terms: -20 + -7 = -27 8 + -4x = -27 + x Solving 8 + -4x = -27 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + -4x + -1x = -27 + x + -1x Combine like terms: -4x + -1x = -5x 8 + -5x = -27 + x + -1x Combine like terms: x + -1x = 0 8 + -5x = -27 + 0 8 + -5x = -27 Add '-8' to each side of the equation. 8 + -8 + -5x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -27 + -8 -5x = -27 + -8 Combine like terms: -27 + -8 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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