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Simplifying -42 + -3x = 30 + -7x Solving -42 + -3x = 30 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + -3x + 7x = 30 + -7x + 7x Combine like terms: -3x + 7x = 4x -42 + 4x = 30 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 4x = 30 + 0 -42 + 4x = 30 Add '42' to each side of the equation. -42 + 42 + 4x = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 30 + 42 4x = 30 + 42 Combine like terms: 30 + 42 = 72 4x = 72 Divide each side by '4'. x = 18 Simplifying x = 18
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