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Simplifying 162 = 6x + 3(6x + 14) Reorder the terms: 162 = 6x + 3(14 + 6x) 162 = 6x + (14 * 3 + 6x * 3) 162 = 6x + (42 + 18x) Reorder the terms: 162 = 42 + 6x + 18x Combine like terms: 6x + 18x = 24x 162 = 42 + 24x Solving 162 = 42 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 162 + -24x = 42 + 24x + -24x Combine like terms: 24x + -24x = 0 162 + -24x = 42 + 0 162 + -24x = 42 Add '-162' to each side of the equation. 162 + -162 + -24x = 42 + -162 Combine like terms: 162 + -162 = 0 0 + -24x = 42 + -162 -24x = 42 + -162 Combine like terms: 42 + -162 = -120 -24x = -120 Divide each side by '-24'. x = 5 Simplifying x = 5
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