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Simplifying 5x + 30 = -1x + 42 Reorder the terms: 30 + 5x = -1x + 42 Reorder the terms: 30 + 5x = 42 + -1x Solving 30 + 5x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + 5x + x = 42 + -1x + x Combine like terms: 5x + x = 6x 30 + 6x = 42 + -1x + x Combine like terms: -1x + x = 0 30 + 6x = 42 + 0 30 + 6x = 42 Add '-30' to each side of the equation. 30 + -30 + 6x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 42 + -30 6x = 42 + -30 Combine like terms: 42 + -30 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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