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Simplifying (5x + 4) + -1(3x + -4) = 32 Reorder the terms: (4 + 5x) + -1(3x + -4) = 32 Remove parenthesis around (4 + 5x) 4 + 5x + -1(3x + -4) = 32 Reorder the terms: 4 + 5x + -1(-4 + 3x) = 32 4 + 5x + (-4 * -1 + 3x * -1) = 32 4 + 5x + (4 + -3x) = 32 Reorder the terms: 4 + 4 + 5x + -3x = 32 Combine like terms: 4 + 4 = 8 8 + 5x + -3x = 32 Combine like terms: 5x + -3x = 2x 8 + 2x = 32 Solving 8 + 2x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 32 + -8 2x = 32 + -8 Combine like terms: 32 + -8 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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