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Simplifying -51 + 12x = 61 + 4x Solving -51 + 12x = 61 + 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. -51 + 12x + -4x = 61 + 4x + -4x Combine like terms: 12x + -4x = 8x -51 + 8x = 61 + 4x + -4x Combine like terms: 4x + -4x = 0 -51 + 8x = 61 + 0 -51 + 8x = 61 Add '51' to each side of the equation. -51 + 51 + 8x = 61 + 51 Combine like terms: -51 + 51 = 0 0 + 8x = 61 + 51 8x = 61 + 51 Combine like terms: 61 + 51 = 112 8x = 112 Divide each side by '8'. x = 14 Simplifying x = 14
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