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Simplifying 5(x + 8) = -5x + -40 Reorder the terms: 5(8 + x) = -5x + -40 (8 * 5 + x * 5) = -5x + -40 (40 + 5x) = -5x + -40 Reorder the terms: 40 + 5x = -40 + -5x Solving 40 + 5x = -40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 40 + 5x + 5x = -40 + -5x + 5x Combine like terms: 5x + 5x = 10x 40 + 10x = -40 + -5x + 5x Combine like terms: -5x + 5x = 0 40 + 10x = -40 + 0 40 + 10x = -40 Add '-40' to each side of the equation. 40 + -40 + 10x = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = -40 + -40 10x = -40 + -40 Combine like terms: -40 + -40 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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