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Simplifying 5x + 7x + -19 = 76 + -7x Reorder the terms: -19 + 5x + 7x = 76 + -7x Combine like terms: 5x + 7x = 12x -19 + 12x = 76 + -7x Solving -19 + 12x = 76 + -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. -19 + 12x + 7x = 76 + -7x + 7x Combine like terms: 12x + 7x = 19x -19 + 19x = 76 + -7x + 7x Combine like terms: -7x + 7x = 0 -19 + 19x = 76 + 0 -19 + 19x = 76 Add '19' to each side of the equation. -19 + 19 + 19x = 76 + 19 Combine like terms: -19 + 19 = 0 0 + 19x = 76 + 19 19x = 76 + 19 Combine like terms: 76 + 19 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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