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Simplifying (8x + 1)(x + -7) = (2x + -3)(4x + 5) Reorder the terms: (1 + 8x)(x + -7) = (2x + -3)(4x + 5) Reorder the terms: (1 + 8x)(-7 + x) = (2x + -3)(4x + 5) Multiply (1 + 8x) * (-7 + x) (1(-7 + x) + 8x * (-7 + x)) = (2x + -3)(4x + 5) ((-7 * 1 + x * 1) + 8x * (-7 + x)) = (2x + -3)(4x + 5) ((-7 + 1x) + 8x * (-7 + x)) = (2x + -3)(4x + 5) (-7 + 1x + (-7 * 8x + x * 8x)) = (2x + -3)(4x + 5) (-7 + 1x + (-56x + 8x2)) = (2x + -3)(4x + 5) Combine like terms: 1x + -56x = -55x (-7 + -55x + 8x2) = (2x + -3)(4x + 5) Reorder the terms: -7 + -55x + 8x2 = (-3 + 2x)(4x + 5) Reorder the terms: -7 + -55x + 8x2 = (-3 + 2x)(5 + 4x) Multiply (-3 + 2x) * (5 + 4x) -7 + -55x + 8x2 = (-3(5 + 4x) + 2x * (5 + 4x)) -7 + -55x + 8x2 = ((5 * -3 + 4x * -3) + 2x * (5 + 4x)) -7 + -55x + 8x2 = ((-15 + -12x) + 2x * (5 + 4x)) -7 + -55x + 8x2 = (-15 + -12x + (5 * 2x + 4x * 2x)) -7 + -55x + 8x2 = (-15 + -12x + (10x + 8x2)) Combine like terms: -12x + 10x = -2x -7 + -55x + 8x2 = (-15 + -2x + 8x2) Add '-8x2' to each side of the equation. -7 + -55x + 8x2 + -8x2 = -15 + -2x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -7 + -55x + 0 = -15 + -2x + 8x2 + -8x2 -7 + -55x = -15 + -2x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -7 + -55x = -15 + -2x + 0 -7 + -55x = -15 + -2x Solving -7 + -55x = -15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -55x + 2x = -15 + -2x + 2x Combine like terms: -55x + 2x = -53x -7 + -53x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -53x = -15 + 0 -7 + -53x = -15 Add '7' to each side of the equation. -7 + 7 + -53x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -53x = -15 + 7 -53x = -15 + 7 Combine like terms: -15 + 7 = -8 -53x = -8 Divide each side by '-53'. x = 0.1509433962 Simplifying x = 0.1509433962
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