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Simplifying 42 + 7x = 6 + -3x Solving 42 + 7x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + 7x + 3x = 6 + -3x + 3x Combine like terms: 7x + 3x = 10x 42 + 10x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 10x = 6 + 0 42 + 10x = 6 Add '-42' to each side of the equation. 42 + -42 + 10x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = 6 + -42 10x = 6 + -42 Combine like terms: 6 + -42 = -36 10x = -36 Divide each side by '10'. x = -3.6 Simplifying x = -3.6
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