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Simplifying x(2x + -7) = (2x + 1)(x + -8) Reorder the terms: x(-7 + 2x) = (2x + 1)(x + -8) (-7 * x + 2x * x) = (2x + 1)(x + -8) (-7x + 2x2) = (2x + 1)(x + -8) Reorder the terms: -7x + 2x2 = (1 + 2x)(x + -8) Reorder the terms: -7x + 2x2 = (1 + 2x)(-8 + x) Multiply (1 + 2x) * (-8 + x) -7x + 2x2 = (1(-8 + x) + 2x * (-8 + x)) -7x + 2x2 = ((-8 * 1 + x * 1) + 2x * (-8 + x)) -7x + 2x2 = ((-8 + 1x) + 2x * (-8 + x)) -7x + 2x2 = (-8 + 1x + (-8 * 2x + x * 2x)) -7x + 2x2 = (-8 + 1x + (-16x + 2x2)) Combine like terms: 1x + -16x = -15x -7x + 2x2 = (-8 + -15x + 2x2) Add '-2x2' to each side of the equation. -7x + 2x2 + -2x2 = -8 + -15x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -7x + 0 = -8 + -15x + 2x2 + -2x2 -7x = -8 + -15x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -7x = -8 + -15x + 0 -7x = -8 + -15x Solving -7x = -8 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -7x + 15x = -8 + -15x + 15x Combine like terms: -7x + 15x = 8x 8x = -8 + -15x + 15x Combine like terms: -15x + 15x = 0 8x = -8 + 0 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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