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Simplifying 5 + -8x = 42 + -15x Solving 5 + -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. 5 + -8x + 15x = 42 + -15x + 15x Combine like terms: -8x + 15x = 7x 5 + 7x = 42 + -15x + 15x Combine like terms: -15x + 15x = 0 5 + 7x = 42 + 0 5 + 7x = 42 Add '-5' to each side of the equation. 5 + -5 + 7x = 42 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 42 + -5 7x = 42 + -5 Combine like terms: 42 + -5 = 37 7x = 37 Divide each side by '7'. x = 5.285714286 Simplifying x = 5.285714286
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