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Simplifying 42 + -9 = 4 + x + -20 Combine like terms: 42 + -9 = 33 33 = 4 + x + -20 Reorder the terms: 33 = 4 + -20 + x Combine like terms: 4 + -20 = -16 33 = -16 + x Solving 33 = -16 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 33 + -1x = -16 + x + -1x Combine like terms: x + -1x = 0 33 + -1x = -16 + 0 33 + -1x = -16 Add '-33' to each side of the equation. 33 + -33 + -1x = -16 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = -16 + -33 -1x = -16 + -33 Combine like terms: -16 + -33 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49
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