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Simplifying -7x + 4 = x + 12 Reorder the terms: 4 + -7x = x + 12 Reorder the terms: 4 + -7x = 12 + x Solving 4 + -7x = 12 + 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. 4 + -7x + -1x = 12 + x + -1x Combine like terms: -7x + -1x = -8x 4 + -8x = 12 + x + -1x Combine like terms: x + -1x = 0 4 + -8x = 12 + 0 4 + -8x = 12 Add '-4' to each side of the equation. 4 + -4 + -8x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 12 + -4 -8x = 12 + -4 Combine like terms: 12 + -4 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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