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Simplifying 7x + 5x + -76 = 38 + -7x Reorder the terms: -76 + 7x + 5x = 38 + -7x Combine like terms: 7x + 5x = 12x -76 + 12x = 38 + -7x Solving -76 + 12x = 38 + -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 = 38 + -7x + 7x Combine like terms: 12x + 7x = 19x -76 + 19x = 38 + -7x + 7x Combine like terms: -7x + 7x = 0 -76 + 19x = 38 + 0 -76 + 19x = 38 Add '76' to each side of the equation. -76 + 76 + 19x = 38 + 76 Combine like terms: -76 + 76 = 0 0 + 19x = 38 + 76 19x = 38 + 76 Combine like terms: 38 + 76 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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