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Simplifying 42 + -5x = 3x + -14 Reorder the terms: 42 + -5x = -14 + 3x Solving 42 + -5x = -14 + 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 + -5x + -3x = -14 + 3x + -3x Combine like terms: -5x + -3x = -8x 42 + -8x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -8x = -14 + 0 42 + -8x = -14 Add '-42' to each side of the equation. 42 + -42 + -8x = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = -14 + -42 -8x = -14 + -42 Combine like terms: -14 + -42 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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