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Simplifying 5(x + 7) = 4(-8x + -2) Reorder the terms: 5(7 + x) = 4(-8x + -2) (7 * 5 + x * 5) = 4(-8x + -2) (35 + 5x) = 4(-8x + -2) Reorder the terms: 35 + 5x = 4(-2 + -8x) 35 + 5x = (-2 * 4 + -8x * 4) 35 + 5x = (-8 + -32x) Solving 35 + 5x = -8 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 35 + 5x + 32x = -8 + -32x + 32x Combine like terms: 5x + 32x = 37x 35 + 37x = -8 + -32x + 32x Combine like terms: -32x + 32x = 0 35 + 37x = -8 + 0 35 + 37x = -8 Add '-35' to each side of the equation. 35 + -35 + 37x = -8 + -35 Combine like terms: 35 + -35 = 0 0 + 37x = -8 + -35 37x = -8 + -35 Combine like terms: -8 + -35 = -43 37x = -43 Divide each side by '37'. x = -1.162162162 Simplifying x = -1.162162162
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