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Simplifying 2x + 30 + -1x = 7 + 5x + -5 Reorder the terms: 30 + 2x + -1x = 7 + 5x + -5 Combine like terms: 2x + -1x = 1x 30 + 1x = 7 + 5x + -5 Reorder the terms: 30 + 1x = 7 + -5 + 5x Combine like terms: 7 + -5 = 2 30 + 1x = 2 + 5x Solving 30 + 1x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 1x + -5x = 2 + 5x + -5x Combine like terms: 1x + -5x = -4x 30 + -4x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -4x = 2 + 0 30 + -4x = 2 Add '-30' to each side of the equation. 30 + -30 + -4x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 2 + -30 -4x = 2 + -30 Combine like terms: 2 + -30 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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