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Simplifying 5x + 8x + -38 = 57 + -6x Reorder the terms: -38 + 5x + 8x = 57 + -6x Combine like terms: 5x + 8x = 13x -38 + 13x = 57 + -6x Solving -38 + 13x = 57 + -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 = 57 + -6x + 6x Combine like terms: 13x + 6x = 19x -38 + 19x = 57 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 19x = 57 + 0 -38 + 19x = 57 Add '38' to each side of the equation. -38 + 38 + 19x = 57 + 38 Combine like terms: -38 + 38 = 0 0 + 19x = 57 + 38 19x = 57 + 38 Combine like terms: 57 + 38 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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