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Simplifying 8x + 42 = 15x + 30 Reorder the terms: 42 + 8x = 15x + 30 Reorder the terms: 42 + 8x = 30 + 15x Solving 42 + 8x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 42 + 8x + -15x = 30 + 15x + -15x Combine like terms: 8x + -15x = -7x 42 + -7x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 42 + -7x = 30 + 0 42 + -7x = 30 Add '-42' to each side of the equation. 42 + -42 + -7x = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 30 + -42 -7x = 30 + -42 Combine like terms: 30 + -42 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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