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Simplifying 3 + 7x = 51 + -1x Solving 3 + 7x = 51 + -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. 3 + 7x + x = 51 + -1x + x Combine like terms: 7x + x = 8x 3 + 8x = 51 + -1x + x Combine like terms: -1x + x = 0 3 + 8x = 51 + 0 3 + 8x = 51 Add '-3' to each side of the equation. 3 + -3 + 8x = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 51 + -3 8x = 51 + -3 Combine like terms: 51 + -3 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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