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Simplifying 7x + 4 = -1x + -12 Reorder the terms: 4 + 7x = -1x + -12 Reorder the terms: 4 + 7x = -12 + -1x Solving 4 + 7x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 7x + x = -12 + -1x + x Combine like terms: 7x + x = 8x 4 + 8x = -12 + -1x + x Combine like terms: -1x + x = 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 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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