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Simplifying 5x + 3(9 + -5x) = 47 5x + (9 * 3 + -5x * 3) = 47 5x + (27 + -15x) = 47 Reorder the terms: 27 + 5x + -15x = 47 Combine like terms: 5x + -15x = -10x 27 + -10x = 47 Solving 27 + -10x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -10x = 47 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = 47 + -27 -10x = 47 + -27 Combine like terms: 47 + -27 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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