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Simplifying 9x + 5(x + -2) = 3x + -4x2 + (2x + 5)(2x + -7) Reorder the terms: 9x + 5(-2 + x) = 3x + -4x2 + (2x + 5)(2x + -7) 9x + (-2 * 5 + x * 5) = 3x + -4x2 + (2x + 5)(2x + -7) 9x + (-10 + 5x) = 3x + -4x2 + (2x + 5)(2x + -7) Reorder the terms: -10 + 9x + 5x = 3x + -4x2 + (2x + 5)(2x + -7) Combine like terms: 9x + 5x = 14x -10 + 14x = 3x + -4x2 + (2x + 5)(2x + -7) Reorder the terms: -10 + 14x = 3x + -4x2 + (5 + 2x)(2x + -7) Reorder the terms: -10 + 14x = 3x + -4x2 + (5 + 2x)(-7 + 2x) Multiply (5 + 2x) * (-7 + 2x) -10 + 14x = 3x + -4x2 + (5(-7 + 2x) + 2x * (-7 + 2x)) -10 + 14x = 3x + -4x2 + ((-7 * 5 + 2x * 5) + 2x * (-7 + 2x)) -10 + 14x = 3x + -4x2 + ((-35 + 10x) + 2x * (-7 + 2x)) -10 + 14x = 3x + -4x2 + (-35 + 10x + (-7 * 2x + 2x * 2x)) -10 + 14x = 3x + -4x2 + (-35 + 10x + (-14x + 4x2)) Combine like terms: 10x + -14x = -4x -10 + 14x = 3x + -4x2 + (-35 + -4x + 4x2) Reorder the terms: -10 + 14x = -35 + 3x + -4x + -4x2 + 4x2 Combine like terms: 3x + -4x = -1x -10 + 14x = -35 + -1x + -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -10 + 14x = -35 + -1x + 0 -10 + 14x = -35 + -1x Solving -10 + 14x = -35 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 14x + x = -35 + -1x + x Combine like terms: 14x + x = 15x -10 + 15x = -35 + -1x + x Combine like terms: -1x + x = 0 -10 + 15x = -35 + 0 -10 + 15x = -35 Add '10' to each side of the equation. -10 + 10 + 15x = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = -35 + 10 15x = -35 + 10 Combine like terms: -35 + 10 = -25 15x = -25 Divide each side by '15'. x = -1.666666667 Simplifying x = -1.666666667
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