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Simplifying x(3x + -4) + 2x(x + 7) = 5x(x + -7) + 90 Reorder the terms: x(-4 + 3x) + 2x(x + 7) = 5x(x + -7) + 90 (-4 * x + 3x * x) + 2x(x + 7) = 5x(x + -7) + 90 (-4x + 3x2) + 2x(x + 7) = 5x(x + -7) + 90 Reorder the terms: -4x + 3x2 + 2x(7 + x) = 5x(x + -7) + 90 -4x + 3x2 + (7 * 2x + x * 2x) = 5x(x + -7) + 90 -4x + 3x2 + (14x + 2x2) = 5x(x + -7) + 90 Reorder the terms: -4x + 14x + 3x2 + 2x2 = 5x(x + -7) + 90 Combine like terms: -4x + 14x = 10x 10x + 3x2 + 2x2 = 5x(x + -7) + 90 Combine like terms: 3x2 + 2x2 = 5x2 10x + 5x2 = 5x(x + -7) + 90 Reorder the terms: 10x + 5x2 = 5x(-7 + x) + 90 10x + 5x2 = (-7 * 5x + x * 5x) + 90 10x + 5x2 = (-35x + 5x2) + 90 Reorder the terms: 10x + 5x2 = 90 + -35x + 5x2 Add '-5x2' to each side of the equation. 10x + 5x2 + -5x2 = 90 + -35x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 10x + 0 = 90 + -35x + 5x2 + -5x2 10x = 90 + -35x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 10x = 90 + -35x + 0 10x = 90 + -35x Solving 10x = 90 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 10x + 35x = 90 + -35x + 35x Combine like terms: 10x + 35x = 45x 45x = 90 + -35x + 35x Combine like terms: -35x + 35x = 0 45x = 90 + 0 45x = 90 Divide each side by '45'. x = 2 Simplifying x = 2
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