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Simplifying (3x + -5)(8x + -2) = (6x + 10)(4x + 6) Reorder the terms: (-5 + 3x)(8x + -2) = (6x + 10)(4x + 6) Reorder the terms: (-5 + 3x)(-2 + 8x) = (6x + 10)(4x + 6) Multiply (-5 + 3x) * (-2 + 8x) (-5(-2 + 8x) + 3x * (-2 + 8x)) = (6x + 10)(4x + 6) ((-2 * -5 + 8x * -5) + 3x * (-2 + 8x)) = (6x + 10)(4x + 6) ((10 + -40x) + 3x * (-2 + 8x)) = (6x + 10)(4x + 6) (10 + -40x + (-2 * 3x + 8x * 3x)) = (6x + 10)(4x + 6) (10 + -40x + (-6x + 24x2)) = (6x + 10)(4x + 6) Combine like terms: -40x + -6x = -46x (10 + -46x + 24x2) = (6x + 10)(4x + 6) Reorder the terms: 10 + -46x + 24x2 = (10 + 6x)(4x + 6) Reorder the terms: 10 + -46x + 24x2 = (10 + 6x)(6 + 4x) Multiply (10 + 6x) * (6 + 4x) 10 + -46x + 24x2 = (10(6 + 4x) + 6x * (6 + 4x)) 10 + -46x + 24x2 = ((6 * 10 + 4x * 10) + 6x * (6 + 4x)) 10 + -46x + 24x2 = ((60 + 40x) + 6x * (6 + 4x)) 10 + -46x + 24x2 = (60 + 40x + (6 * 6x + 4x * 6x)) 10 + -46x + 24x2 = (60 + 40x + (36x + 24x2)) Combine like terms: 40x + 36x = 76x 10 + -46x + 24x2 = (60 + 76x + 24x2) Add '-24x2' to each side of the equation. 10 + -46x + 24x2 + -24x2 = 60 + 76x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 10 + -46x + 0 = 60 + 76x + 24x2 + -24x2 10 + -46x = 60 + 76x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 10 + -46x = 60 + 76x + 0 10 + -46x = 60 + 76x Solving 10 + -46x = 60 + 76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76x' to each side of the equation. 10 + -46x + -76x = 60 + 76x + -76x Combine like terms: -46x + -76x = -122x 10 + -122x = 60 + 76x + -76x Combine like terms: 76x + -76x = 0 10 + -122x = 60 + 0 10 + -122x = 60 Add '-10' to each side of the equation. 10 + -10 + -122x = 60 + -10 Combine like terms: 10 + -10 = 0 0 + -122x = 60 + -10 -122x = 60 + -10 Combine like terms: 60 + -10 = 50 -122x = 50 Divide each side by '-122'. x = -0.4098360656 Simplifying x = -0.4098360656
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