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Simplifying 3x + 7(x + 6) = 152 Reorder the terms: 3x + 7(6 + x) = 152 3x + (6 * 7 + x * 7) = 152 3x + (42 + 7x) = 152 Reorder the terms: 42 + 3x + 7x = 152 Combine like terms: 3x + 7x = 10x 42 + 10x = 152 Solving 42 + 10x = 152 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 + 10x = 152 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = 152 + -42 10x = 152 + -42 Combine like terms: 152 + -42 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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