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Simplifying 6x + 7x + -38 = 76 + -6x Reorder the terms: -38 + 6x + 7x = 76 + -6x Combine like terms: 6x + 7x = 13x -38 + 13x = 76 + -6x Solving -38 + 13x = 76 + -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. -38 + 13x + 6x = 76 + -6x + 6x Combine like terms: 13x + 6x = 19x -38 + 19x = 76 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 19x = 76 + 0 -38 + 19x = 76 Add '38' to each side of the equation. -38 + 38 + 19x = 76 + 38 Combine like terms: -38 + 38 = 0 0 + 19x = 76 + 38 19x = 76 + 38 Combine like terms: 76 + 38 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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