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Simplifying 4x + 6(x + 7) = 162 Reorder the terms: 4x + 6(7 + x) = 162 4x + (7 * 6 + x * 6) = 162 4x + (42 + 6x) = 162 Reorder the terms: 42 + 4x + 6x = 162 Combine like terms: 4x + 6x = 10x 42 + 10x = 162 Solving 42 + 10x = 162 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 = 162 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = 162 + -42 10x = 162 + -42 Combine like terms: 162 + -42 = 120 10x = 120 Divide each side by '10'. x = 12 Simplifying x = 12
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