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Simplifying 5x + 7(6x + 6) = 230 Reorder the terms: 5x + 7(6 + 6x) = 230 5x + (6 * 7 + 6x * 7) = 230 5x + (42 + 42x) = 230 Reorder the terms: 42 + 5x + 42x = 230 Combine like terms: 5x + 42x = 47x 42 + 47x = 230 Solving 42 + 47x = 230 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 47x = 230 + -42 Combine like terms: 42 + -42 = 0 0 + 47x = 230 + -42 47x = 230 + -42 Combine like terms: 230 + -42 = 188 47x = 188 Divide each side by '47'. x = 4 Simplifying x = 4
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