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Simplifying (4x + -7)(2x + 3) + -8x(x + -4) = 0 Reorder the terms: (-7 + 4x)(2x + 3) + -8x(x + -4) = 0 Reorder the terms: (-7 + 4x)(3 + 2x) + -8x(x + -4) = 0 Multiply (-7 + 4x) * (3 + 2x) (-7(3 + 2x) + 4x * (3 + 2x)) + -8x(x + -4) = 0 ((3 * -7 + 2x * -7) + 4x * (3 + 2x)) + -8x(x + -4) = 0 ((-21 + -14x) + 4x * (3 + 2x)) + -8x(x + -4) = 0 (-21 + -14x + (3 * 4x + 2x * 4x)) + -8x(x + -4) = 0 (-21 + -14x + (12x + 8x2)) + -8x(x + -4) = 0 Combine like terms: -14x + 12x = -2x (-21 + -2x + 8x2) + -8x(x + -4) = 0 Reorder the terms: -21 + -2x + 8x2 + -8x(-4 + x) = 0 -21 + -2x + 8x2 + (-4 * -8x + x * -8x) = 0 -21 + -2x + 8x2 + (32x + -8x2) = 0 Reorder the terms: -21 + -2x + 32x + 8x2 + -8x2 = 0 Combine like terms: -2x + 32x = 30x -21 + 30x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 -21 + 30x + 0 = 0 -21 + 30x = 0 Solving -21 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 30x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 30x = 0 + 21 30x = 0 + 21 Combine like terms: 0 + 21 = 21 30x = 21 Divide each side by '30'. x = 0.7 Simplifying x = 0.7
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