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Simplifying (3x + 7) + (2x + 18) = (6x + 5) Reorder the terms: (7 + 3x) + (2x + 18) = (6x + 5) Remove parenthesis around (7 + 3x) 7 + 3x + (2x + 18) = (6x + 5) Reorder the terms: 7 + 3x + (18 + 2x) = (6x + 5) Remove parenthesis around (18 + 2x) 7 + 3x + 18 + 2x = (6x + 5) Reorder the terms: 7 + 18 + 3x + 2x = (6x + 5) Combine like terms: 7 + 18 = 25 25 + 3x + 2x = (6x + 5) Combine like terms: 3x + 2x = 5x 25 + 5x = (6x + 5) Reorder the terms: 25 + 5x = (5 + 6x) Remove parenthesis around (5 + 6x) 25 + 5x = 5 + 6x Solving 25 + 5x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + 5x + -6x = 5 + 6x + -6x Combine like terms: 5x + -6x = -1x 25 + -1x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -1x = 5 + 0 25 + -1x = 5 Add '-25' to each side of the equation. 25 + -25 + -1x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 5 + -25 -1x = 5 + -25 Combine like terms: 5 + -25 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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