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Simplifying -118 + 6x = 51 + -7x Solving -118 + 6x = 51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -118 + 6x + 7x = 51 + -7x + 7x Combine like terms: 6x + 7x = 13x -118 + 13x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 -118 + 13x = 51 + 0 -118 + 13x = 51 Add '118' to each side of the equation. -118 + 118 + 13x = 51 + 118 Combine like terms: -118 + 118 = 0 0 + 13x = 51 + 118 13x = 51 + 118 Combine like terms: 51 + 118 = 169 13x = 169 Divide each side by '13'. x = 13 Simplifying x = 13
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