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Simplifying 10 + -8x = 42 + -15x Solving 10 + -8x = 42 + -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. 10 + -8x + 15x = 42 + -15x + 15x Combine like terms: -8x + 15x = 7x 10 + 7x = 42 + -15x + 15x Combine like terms: -15x + 15x = 0 10 + 7x = 42 + 0 10 + 7x = 42 Add '-10' to each side of the equation. 10 + -10 + 7x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 42 + -10 7x = 42 + -10 Combine like terms: 42 + -10 = 32 7x = 32 Divide each side by '7'. x = 4.571428571 Simplifying x = 4.571428571
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