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Simplifying x + 15 = 42 + -8x Reorder the terms: 15 + x = 42 + -8x Solving 15 + x = 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. 15 + x + 8x = 42 + -8x + 8x Combine like terms: x + 8x = 9x 15 + 9x = 42 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 9x = 42 + 0 15 + 9x = 42 Add '-15' to each side of the equation. 15 + -15 + 9x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 42 + -15 9x = 42 + -15 Combine like terms: 42 + -15 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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