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Simplifying 2(7x + -1) + 8(3x + 5) = 304 Reorder the terms: 2(-1 + 7x) + 8(3x + 5) = 304 (-1 * 2 + 7x * 2) + 8(3x + 5) = 304 (-2 + 14x) + 8(3x + 5) = 304 Reorder the terms: -2 + 14x + 8(5 + 3x) = 304 -2 + 14x + (5 * 8 + 3x * 8) = 304 -2 + 14x + (40 + 24x) = 304 Reorder the terms: -2 + 40 + 14x + 24x = 304 Combine like terms: -2 + 40 = 38 38 + 14x + 24x = 304 Combine like terms: 14x + 24x = 38x 38 + 38x = 304 Solving 38 + 38x = 304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 38x = 304 + -38 Combine like terms: 38 + -38 = 0 0 + 38x = 304 + -38 38x = 304 + -38 Combine like terms: 304 + -38 = 266 38x = 266 Divide each side by '38'. x = 7 Simplifying x = 7
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