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Simplifying 2x + 30 = x + 15 + 2x + -35 Reorder the terms: 30 + 2x = x + 15 + 2x + -35 Reorder the terms: 30 + 2x = 15 + -35 + x + 2x Combine like terms: 15 + -35 = -20 30 + 2x = -20 + x + 2x Combine like terms: x + 2x = 3x 30 + 2x = -20 + 3x Solving 30 + 2x = -20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 2x + -3x = -20 + 3x + -3x Combine like terms: 2x + -3x = -1x 30 + -1x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -1x = -20 + 0 30 + -1x = -20 Add '-30' to each side of the equation. 30 + -30 + -1x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -20 + -30 -1x = -20 + -30 Combine like terms: -20 + -30 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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