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Simplifying 5((2x + -7) + -3(3x + -8)) = 9x + -16 + -2(3x + -5) + 13 Reorder the terms: 5((-7 + 2x) + -3(3x + -8)) = 9x + -16 + -2(3x + -5) + 13 Remove parenthesis around (-7 + 2x) 5(-7 + 2x + -3(3x + -8)) = 9x + -16 + -2(3x + -5) + 13 Reorder the terms: 5(-7 + 2x + -3(-8 + 3x)) = 9x + -16 + -2(3x + -5) + 13 5(-7 + 2x + (-8 * -3 + 3x * -3)) = 9x + -16 + -2(3x + -5) + 13 5(-7 + 2x + (24 + -9x)) = 9x + -16 + -2(3x + -5) + 13 Reorder the terms: 5(-7 + 24 + 2x + -9x) = 9x + -16 + -2(3x + -5) + 13 Combine like terms: -7 + 24 = 17 5(17 + 2x + -9x) = 9x + -16 + -2(3x + -5) + 13 Combine like terms: 2x + -9x = -7x 5(17 + -7x) = 9x + -16 + -2(3x + -5) + 13 (17 * 5 + -7x * 5) = 9x + -16 + -2(3x + -5) + 13 (85 + -35x) = 9x + -16 + -2(3x + -5) + 13 Reorder the terms: 85 + -35x = 9x + -16 + -2(-5 + 3x) + 13 85 + -35x = 9x + -16 + (-5 * -2 + 3x * -2) + 13 85 + -35x = 9x + -16 + (10 + -6x) + 13 Reorder the terms: 85 + -35x = -16 + 10 + 13 + 9x + -6x Combine like terms: -16 + 10 = -6 85 + -35x = -6 + 13 + 9x + -6x Combine like terms: -6 + 13 = 7 85 + -35x = 7 + 9x + -6x Combine like terms: 9x + -6x = 3x 85 + -35x = 7 + 3x Solving 85 + -35x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 85 + -35x + -3x = 7 + 3x + -3x Combine like terms: -35x + -3x = -38x 85 + -38x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 85 + -38x = 7 + 0 85 + -38x = 7 Add '-85' to each side of the equation. 85 + -85 + -38x = 7 + -85 Combine like terms: 85 + -85 = 0 0 + -38x = 7 + -85 -38x = 7 + -85 Combine like terms: 7 + -85 = -78 -38x = -78 Divide each side by '-38'. x = 2.052631579 Simplifying x = 2.052631579
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