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Simplifying 5x + 38 + -6x = 1 + -8x + 2 Reorder the terms: 38 + 5x + -6x = 1 + -8x + 2 Combine like terms: 5x + -6x = -1x 38 + -1x = 1 + -8x + 2 Reorder the terms: 38 + -1x = 1 + 2 + -8x Combine like terms: 1 + 2 = 3 38 + -1x = 3 + -8x Solving 38 + -1x = 3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 38 + -1x + 8x = 3 + -8x + 8x Combine like terms: -1x + 8x = 7x 38 + 7x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 7x = 3 + 0 38 + 7x = 3 Add '-38' to each side of the equation. 38 + -38 + 7x = 3 + -38 Combine like terms: 38 + -38 = 0 0 + 7x = 3 + -38 7x = 3 + -38 Combine like terms: 3 + -38 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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