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Simplifying 8(-4x + 7) + -50 = -7(-5x + -8) Reorder the terms: 8(7 + -4x) + -50 = -7(-5x + -8) (7 * 8 + -4x * 8) + -50 = -7(-5x + -8) (56 + -32x) + -50 = -7(-5x + -8) Reorder the terms: 56 + -50 + -32x = -7(-5x + -8) Combine like terms: 56 + -50 = 6 6 + -32x = -7(-5x + -8) Reorder the terms: 6 + -32x = -7(-8 + -5x) 6 + -32x = (-8 * -7 + -5x * -7) 6 + -32x = (56 + 35x) Solving 6 + -32x = 56 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 6 + -32x + -35x = 56 + 35x + -35x Combine like terms: -32x + -35x = -67x 6 + -67x = 56 + 35x + -35x Combine like terms: 35x + -35x = 0 6 + -67x = 56 + 0 6 + -67x = 56 Add '-6' to each side of the equation. 6 + -6 + -67x = 56 + -6 Combine like terms: 6 + -6 = 0 0 + -67x = 56 + -6 -67x = 56 + -6 Combine like terms: 56 + -6 = 50 -67x = 50 Divide each side by '-67'. x = -0.7462686567 Simplifying x = -0.7462686567
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