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Simplifying 42 + -6x = 10 + -10x Solving 42 + -6x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 42 + -6x + 10x = 10 + -10x + 10x Combine like terms: -6x + 10x = 4x 42 + 4x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 42 + 4x = 10 + 0 42 + 4x = 10 Add '-42' to each side of the equation. 42 + -42 + 4x = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 10 + -42 4x = 10 + -42 Combine like terms: 10 + -42 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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