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Simplifying 342 = 19(4 + 2x) 342 = (4 * 19 + 2x * 19) 342 = (76 + 38x) Solving 342 = 76 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 342 + -38x = 76 + 38x + -38x Combine like terms: 38x + -38x = 0 342 + -38x = 76 + 0 342 + -38x = 76 Add '-342' to each side of the equation. 342 + -342 + -38x = 76 + -342 Combine like terms: 342 + -342 = 0 0 + -38x = 76 + -342 -38x = 76 + -342 Combine like terms: 76 + -342 = -266 -38x = -266 Divide each side by '-38'. x = 7 Simplifying x = 7
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