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Simplifying 2x + 35 = 3x + 2x + -7 Reorder the terms: 35 + 2x = 3x + 2x + -7 Reorder the terms: 35 + 2x = -7 + 3x + 2x Combine like terms: 3x + 2x = 5x 35 + 2x = -7 + 5x Solving 35 + 2x = -7 + 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. 35 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x 35 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -3x = -7 + 0 35 + -3x = -7 Add '-35' to each side of the equation. 35 + -35 + -3x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = -7 + -35 -3x = -7 + -35 Combine like terms: -7 + -35 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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