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Simplifying 5x(2 + -9) + 6(7 + 8) = 30 Combine like terms: 2 + -9 = -7 5x(-7) + 6(7 + 8) = 30 Reorder the terms for easier multiplication: 5 * -7x + 6(7 + 8) = 30 Multiply 5 * -7 -35x + 6(7 + 8) = 30 Combine like terms: 7 + 8 = 15 -35x + 6(15) = 30 Multiply 6 * 15 -35x + 90 = 30 Reorder the terms: 90 + -35x = 30 Solving 90 + -35x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -35x = 30 + -90 Combine like terms: 90 + -90 = 0 0 + -35x = 30 + -90 -35x = 30 + -90 Combine like terms: 30 + -90 = -60 -35x = -60 Divide each side by '-35'. x = 1.714285714 Simplifying x = 1.714285714
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