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Simplifying 7x + 3(4x + 15) = 178 Reorder the terms: 7x + 3(15 + 4x) = 178 7x + (15 * 3 + 4x * 3) = 178 7x + (45 + 12x) = 178 Reorder the terms: 45 + 7x + 12x = 178 Combine like terms: 7x + 12x = 19x 45 + 19x = 178 Solving 45 + 19x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 19x = 178 + -45 Combine like terms: 45 + -45 = 0 0 + 19x = 178 + -45 19x = 178 + -45 Combine like terms: 178 + -45 = 133 19x = 133 Divide each side by '19'. x = 7 Simplifying x = 7
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