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Simplifying 2x + 5(2x + 14) = 178 Reorder the terms: 2x + 5(14 + 2x) = 178 2x + (14 * 5 + 2x * 5) = 178 2x + (70 + 10x) = 178 Reorder the terms: 70 + 2x + 10x = 178 Combine like terms: 2x + 10x = 12x 70 + 12x = 178 Solving 70 + 12x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 12x = 178 + -70 Combine like terms: 70 + -70 = 0 0 + 12x = 178 + -70 12x = 178 + -70 Combine like terms: 178 + -70 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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