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Simplifying (-45) = x + (-3) + 50 -45 = x + (-3) + 50 -45 = x + -3 + 50 Reorder the terms: -45 = -3 + 50 + x Combine like terms: -3 + 50 = 47 -45 = 47 + x Solving -45 = 47 + 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. -45 + -1x = 47 + x + -1x Combine like terms: x + -1x = 0 -45 + -1x = 47 + 0 -45 + -1x = 47 Add '45' to each side of the equation. -45 + 45 + -1x = 47 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 47 + 45 -1x = 47 + 45 Combine like terms: 47 + 45 = 92 -1x = 92 Divide each side by '-1'. x = -92 Simplifying x = -92
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