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Simplifying 5x(12x + -7) + -4x(15x + -11) = 30 + -29x Reorder the terms: 5x(-7 + 12x) + -4x(15x + -11) = 30 + -29x (-7 * 5x + 12x * 5x) + -4x(15x + -11) = 30 + -29x (-35x + 60x2) + -4x(15x + -11) = 30 + -29x Reorder the terms: -35x + 60x2 + -4x(-11 + 15x) = 30 + -29x -35x + 60x2 + (-11 * -4x + 15x * -4x) = 30 + -29x -35x + 60x2 + (44x + -60x2) = 30 + -29x Reorder the terms: -35x + 44x + 60x2 + -60x2 = 30 + -29x Combine like terms: -35x + 44x = 9x 9x + 60x2 + -60x2 = 30 + -29x Combine like terms: 60x2 + -60x2 = 0 9x + 0 = 30 + -29x 9x = 30 + -29x Solving 9x = 30 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 9x + 29x = 30 + -29x + 29x Combine like terms: 9x + 29x = 38x 38x = 30 + -29x + 29x Combine like terms: -29x + 29x = 0 38x = 30 + 0 38x = 30 Divide each side by '38'. x = 0.7894736842 Simplifying x = 0.7894736842
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