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Simplifying (3x + 18) + -7 = (5x + 1) + 24 Reorder the terms: (18 + 3x) + -7 = (5x + 1) + 24 Remove parenthesis around (18 + 3x) 18 + 3x + -7 = (5x + 1) + 24 Reorder the terms: 18 + -7 + 3x = (5x + 1) + 24 Combine like terms: 18 + -7 = 11 11 + 3x = (5x + 1) + 24 Reorder the terms: 11 + 3x = (1 + 5x) + 24 Remove parenthesis around (1 + 5x) 11 + 3x = 1 + 5x + 24 Reorder the terms: 11 + 3x = 1 + 24 + 5x Combine like terms: 1 + 24 = 25 11 + 3x = 25 + 5x Solving 11 + 3x = 25 + 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. 11 + 3x + -5x = 25 + 5x + -5x Combine like terms: 3x + -5x = -2x 11 + -2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -2x = 25 + 0 11 + -2x = 25 Add '-11' to each side of the equation. 11 + -11 + -2x = 25 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 25 + -11 -2x = 25 + -11 Combine like terms: 25 + -11 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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