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Simplifying 5x + 7x + -57 = 38 + -7x Reorder the terms: -57 + 5x + 7x = 38 + -7x Combine like terms: 5x + 7x = 12x -57 + 12x = 38 + -7x Solving -57 + 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. -57 + 12x + 7x = 38 + -7x + 7x Combine like terms: 12x + 7x = 19x -57 + 19x = 38 + -7x + 7x Combine like terms: -7x + 7x = 0 -57 + 19x = 38 + 0 -57 + 19x = 38 Add '57' to each side of the equation. -57 + 57 + 19x = 38 + 57 Combine like terms: -57 + 57 = 0 0 + 19x = 38 + 57 19x = 38 + 57 Combine like terms: 38 + 57 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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