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Simplifying 5x + 7x + -76 = 57 + -7x Reorder the terms: -76 + 5x + 7x = 57 + -7x Combine like terms: 5x + 7x = 12x -76 + 12x = 57 + -7x Solving -76 + 12x = 57 + -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. -76 + 12x + 7x = 57 + -7x + 7x Combine like terms: 12x + 7x = 19x -76 + 19x = 57 + -7x + 7x Combine like terms: -7x + 7x = 0 -76 + 19x = 57 + 0 -76 + 19x = 57 Add '76' to each side of the equation. -76 + 76 + 19x = 57 + 76 Combine like terms: -76 + 76 = 0 0 + 19x = 57 + 76 19x = 57 + 76 Combine like terms: 57 + 76 = 133 19x = 133 Divide each side by '19'. x = 7 Simplifying x = 7
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