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Simplifying 6x + 7x + -57 = 38 + -6x Reorder the terms: -57 + 6x + 7x = 38 + -6x Combine like terms: 6x + 7x = 13x -57 + 13x = 38 + -6x Solving -57 + 13x = 38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -57 + 13x + 6x = 38 + -6x + 6x Combine like terms: 13x + 6x = 19x -57 + 19x = 38 + -6x + 6x Combine like terms: -6x + 6x = 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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