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Simplifying 42 + -3x = 14 + -7x Solving 42 + -3x = 14 + -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 = 14 + -7x + 7x Combine like terms: -3x + 7x = 4x 42 + 4x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 4x = 14 + 0 42 + 4x = 14 Add '-42' to each side of the equation. 42 + -42 + 4x = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 14 + -42 4x = 14 + -42 Combine like terms: 14 + -42 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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