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Simplifying 42 + -29 = x + -30 Combine like terms: 42 + -29 = 13 13 = x + -30 Reorder the terms: 13 = -30 + x Solving 13 = -30 + 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. 13 + -1x = -30 + x + -1x Combine like terms: x + -1x = 0 13 + -1x = -30 + 0 13 + -1x = -30 Add '-13' to each side of the equation. 13 + -13 + -1x = -30 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -30 + -13 -1x = -30 + -13 Combine like terms: -30 + -13 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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