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Simplifying 2x + 18 + 2x + 17 = 3x + 5 Reorder the terms: 18 + 17 + 2x + 2x = 3x + 5 Combine like terms: 18 + 17 = 35 35 + 2x + 2x = 3x + 5 Combine like terms: 2x + 2x = 4x 35 + 4x = 3x + 5 Reorder the terms: 35 + 4x = 5 + 3x Solving 35 + 4x = 5 + 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. 35 + 4x + -3x = 5 + 3x + -3x Combine like terms: 4x + -3x = 1x 35 + 1x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 1x = 5 + 0 35 + 1x = 5 Add '-35' to each side of the equation. 35 + -35 + 1x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 5 + -35 1x = 5 + -35 Combine like terms: 5 + -35 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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