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Simplifying 15x + 30 = 8x + 42 Reorder the terms: 30 + 15x = 8x + 42 Reorder the terms: 30 + 15x = 42 + 8x Solving 30 + 15x = 42 + 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. 30 + 15x + -8x = 42 + 8x + -8x Combine like terms: 15x + -8x = 7x 30 + 7x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 7x = 42 + 0 30 + 7x = 42 Add '-30' to each side of the equation. 30 + -30 + 7x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 42 + -30 7x = 42 + -30 Combine like terms: 42 + -30 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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