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Simplifying 8x + 38 = 6x + 6420 Reorder the terms: 38 + 8x = 6x + 6420 Reorder the terms: 38 + 8x = 6420 + 6x Solving 38 + 8x = 6420 + 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 + 8x + -6x = 6420 + 6x + -6x Combine like terms: 8x + -6x = 2x 38 + 2x = 6420 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + 2x = 6420 + 0 38 + 2x = 6420 Add '-38' to each side of the equation. 38 + -38 + 2x = 6420 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 6420 + -38 2x = 6420 + -38 Combine like terms: 6420 + -38 = 6382 2x = 6382 Divide each side by '2'. x = 3191 Simplifying x = 3191
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