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Simplifying 8x + 28 = 6x + 42 Reorder the terms: 28 + 8x = 6x + 42 Reorder the terms: 28 + 8x = 42 + 6x Solving 28 + 8x = 42 + 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. 28 + 8x + -6x = 42 + 6x + -6x Combine like terms: 8x + -6x = 2x 28 + 2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 2x = 42 + 0 28 + 2x = 42 Add '-28' to each side of the equation. 28 + -28 + 2x = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 42 + -28 2x = 42 + -28 Combine like terms: 42 + -28 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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