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Simplifying (3x + -24) + 2x = (4x + 11) Reorder the terms: (-24 + 3x) + 2x = (4x + 11) Remove parenthesis around (-24 + 3x) -24 + 3x + 2x = (4x + 11) Combine like terms: 3x + 2x = 5x -24 + 5x = (4x + 11) Reorder the terms: -24 + 5x = (11 + 4x) Remove parenthesis around (11 + 4x) -24 + 5x = 11 + 4x Solving -24 + 5x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 5x + -4x = 11 + 4x + -4x Combine like terms: 5x + -4x = 1x -24 + 1x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 1x = 11 + 0 -24 + 1x = 11 Add '24' to each side of the equation. -24 + 24 + 1x = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 11 + 24 1x = 11 + 24 Combine like terms: 11 + 24 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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