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Simplifying 5(3x + 6) = -47 + 62 Reorder the terms: 5(6 + 3x) = -47 + 62 (6 * 5 + 3x * 5) = -47 + 62 (30 + 15x) = -47 + 62 Combine like terms: -47 + 62 = 15 30 + 15x = 15 Solving 30 + 15x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = 15 + -30 15x = 15 + -30 Combine like terms: 15 + -30 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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