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Simplifying 12 + -8x = 42 + -15x Solving 12 + -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. 12 + -8x + 15x = 42 + -15x + 15x Combine like terms: -8x + 15x = 7x 12 + 7x = 42 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + 7x = 42 + 0 12 + 7x = 42 Add '-12' to each side of the equation. 12 + -12 + 7x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 42 + -12 7x = 42 + -12 Combine like terms: 42 + -12 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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