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Simplifying (5x + 7) + (4x + 11) = 24 + -3x Reorder the terms: (7 + 5x) + (4x + 11) = 24 + -3x Remove parenthesis around (7 + 5x) 7 + 5x + (4x + 11) = 24 + -3x Reorder the terms: 7 + 5x + (11 + 4x) = 24 + -3x Remove parenthesis around (11 + 4x) 7 + 5x + 11 + 4x = 24 + -3x Reorder the terms: 7 + 11 + 5x + 4x = 24 + -3x Combine like terms: 7 + 11 = 18 18 + 5x + 4x = 24 + -3x Combine like terms: 5x + 4x = 9x 18 + 9x = 24 + -3x Solving 18 + 9x = 24 + -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. 18 + 9x + 3x = 24 + -3x + 3x Combine like terms: 9x + 3x = 12x 18 + 12x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 12x = 24 + 0 18 + 12x = 24 Add '-18' to each side of the equation. 18 + -18 + 12x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 24 + -18 12x = 24 + -18 Combine like terms: 24 + -18 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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