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Simplifying (7x + 9)(-10) + 5(11 + -6x) = -76x + 25 Reorder the terms: (9 + 7x)(-10) + 5(11 + -6x) = -76x + 25 Reorder the terms for easier multiplication: -10(9 + 7x) + 5(11 + -6x) = -76x + 25 (9 * -10 + 7x * -10) + 5(11 + -6x) = -76x + 25 (-90 + -70x) + 5(11 + -6x) = -76x + 25 -90 + -70x + (11 * 5 + -6x * 5) = -76x + 25 -90 + -70x + (55 + -30x) = -76x + 25 Reorder the terms: -90 + 55 + -70x + -30x = -76x + 25 Combine like terms: -90 + 55 = -35 -35 + -70x + -30x = -76x + 25 Combine like terms: -70x + -30x = -100x -35 + -100x = -76x + 25 Reorder the terms: -35 + -100x = 25 + -76x Solving -35 + -100x = 25 + -76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76x' to each side of the equation. -35 + -100x + 76x = 25 + -76x + 76x Combine like terms: -100x + 76x = -24x -35 + -24x = 25 + -76x + 76x Combine like terms: -76x + 76x = 0 -35 + -24x = 25 + 0 -35 + -24x = 25 Add '35' to each side of the equation. -35 + 35 + -24x = 25 + 35 Combine like terms: -35 + 35 = 0 0 + -24x = 25 + 35 -24x = 25 + 35 Combine like terms: 25 + 35 = 60 -24x = 60 Divide each side by '-24'. x = -2.5 Simplifying x = -2.5
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