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Simplifying 5x + -1(-2x + -8) = -5(x + 4) + -8 Reorder the terms: 5x + -1(-8 + -2x) = -5(x + 4) + -8 5x + (-8 * -1 + -2x * -1) = -5(x + 4) + -8 5x + (8 + 2x) = -5(x + 4) + -8 Reorder the terms: 8 + 5x + 2x = -5(x + 4) + -8 Combine like terms: 5x + 2x = 7x 8 + 7x = -5(x + 4) + -8 Reorder the terms: 8 + 7x = -5(4 + x) + -8 8 + 7x = (4 * -5 + x * -5) + -8 8 + 7x = (-20 + -5x) + -8 Reorder the terms: 8 + 7x = -20 + -8 + -5x Combine like terms: -20 + -8 = -28 8 + 7x = -28 + -5x Solving 8 + 7x = -28 + -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. 8 + 7x + 5x = -28 + -5x + 5x Combine like terms: 7x + 5x = 12x 8 + 12x = -28 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 12x = -28 + 0 8 + 12x = -28 Add '-8' to each side of the equation. 8 + -8 + 12x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -28 + -8 12x = -28 + -8 Combine like terms: -28 + -8 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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