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Simplifying 6 + -8x = 42 + -15x Solving 6 + -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. 6 + -8x + 15x = 42 + -15x + 15x Combine like terms: -8x + 15x = 7x 6 + 7x = 42 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 7x = 42 + 0 6 + 7x = 42 Add '-6' to each side of the equation. 6 + -6 + 7x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 42 + -6 7x = 42 + -6 Combine like terms: 42 + -6 = 36 7x = 36 Divide each side by '7'. x = 5.142857143 Simplifying x = 5.142857143
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