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Simplifying 5(3x + 2) = 32 + 4x Reorder the terms: 5(2 + 3x) = 32 + 4x (2 * 5 + 3x * 5) = 32 + 4x (10 + 15x) = 32 + 4x Solving 10 + 15x = 32 + 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. 10 + 15x + -4x = 32 + 4x + -4x Combine like terms: 15x + -4x = 11x 10 + 11x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 11x = 32 + 0 10 + 11x = 32 Add '-10' to each side of the equation. 10 + -10 + 11x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 32 + -10 11x = 32 + -10 Combine like terms: 32 + -10 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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