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