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Simplifying 9x + -5(7 + -2x) = 7x + 9 9x + (7 * -5 + -2x * -5) = 7x + 9 9x + (-35 + 10x) = 7x + 9 Reorder the terms: -35 + 9x + 10x = 7x + 9 Combine like terms: 9x + 10x = 19x -35 + 19x = 7x + 9 Reorder the terms: -35 + 19x = 9 + 7x Solving -35 + 19x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -35 + 19x + -7x = 9 + 7x + -7x Combine like terms: 19x + -7x = 12x -35 + 12x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 12x = 9 + 0 -35 + 12x = 9 Add '35' to each side of the equation. -35 + 35 + 12x = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 9 + 35 12x = 9 + 35 Combine like terms: 9 + 35 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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