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Simplifying 162 = 6x + 6(x + 7) Reorder the terms: 162 = 6x + 6(7 + x) 162 = 6x + (7 * 6 + x * 6) 162 = 6x + (42 + 6x) Reorder the terms: 162 = 42 + 6x + 6x Combine like terms: 6x + 6x = 12x 162 = 42 + 12x Solving 162 = 42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 162 + -12x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 162 + -12x = 42 + 0 162 + -12x = 42 Add '-162' to each side of the equation. 162 + -162 + -12x = 42 + -162 Combine like terms: 162 + -162 = 0 0 + -12x = 42 + -162 -12x = 42 + -162 Combine like terms: 42 + -162 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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