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Simplifying 6(4x + 7) + 9(8x + 4) = 400 Reorder the terms: 6(7 + 4x) + 9(8x + 4) = 400 (7 * 6 + 4x * 6) + 9(8x + 4) = 400 (42 + 24x) + 9(8x + 4) = 400 Reorder the terms: 42 + 24x + 9(4 + 8x) = 400 42 + 24x + (4 * 9 + 8x * 9) = 400 42 + 24x + (36 + 72x) = 400 Reorder the terms: 42 + 36 + 24x + 72x = 400 Combine like terms: 42 + 36 = 78 78 + 24x + 72x = 400 Combine like terms: 24x + 72x = 96x 78 + 96x = 400 Solving 78 + 96x = 400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 96x = 400 + -78 Combine like terms: 78 + -78 = 0 0 + 96x = 400 + -78 96x = 400 + -78 Combine like terms: 400 + -78 = 322 96x = 322 Divide each side by '96'. x = 3.354166667 Simplifying x = 3.354166667
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