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Simplifying 5(x + 7) = 4(-8 + -2) Reorder the terms: 5(7 + x) = 4(-8 + -2) (7 * 5 + x * 5) = 4(-8 + -2) (35 + 5x) = 4(-8 + -2) Combine like terms: -8 + -2 = -10 35 + 5x = 4(-10) Multiply 4 * -10 35 + 5x = -40 Solving 35 + 5x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 5x = -40 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = -40 + -35 5x = -40 + -35 Combine like terms: -40 + -35 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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