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Simplifying (4x + 7) + -2x + (3x + 8) = 30 Reorder the terms: (7 + 4x) + -2x + (3x + 8) = 30 Remove parenthesis around (7 + 4x) 7 + 4x + -2x + (3x + 8) = 30 Reorder the terms: 7 + 4x + -2x + (8 + 3x) = 30 Remove parenthesis around (8 + 3x) 7 + 4x + -2x + 8 + 3x = 30 Reorder the terms: 7 + 8 + 4x + -2x + 3x = 30 Combine like terms: 7 + 8 = 15 15 + 4x + -2x + 3x = 30 Combine like terms: 4x + -2x = 2x 15 + 2x + 3x = 30 Combine like terms: 2x + 3x = 5x 15 + 5x = 30 Solving 15 + 5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 30 + -15 5x = 30 + -15 Combine like terms: 30 + -15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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