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Simplifying 5(3x + 8) = -22 + 32 Reorder the terms: 5(8 + 3x) = -22 + 32 (8 * 5 + 3x * 5) = -22 + 32 (40 + 15x) = -22 + 32 Combine like terms: -22 + 32 = 10 40 + 15x = 10 Solving 40 + 15x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 15x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 15x = 10 + -40 15x = 10 + -40 Combine like terms: 10 + -40 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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