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Simplifying x + -5(x + -1) = -8x + -15 Reorder the terms: x + -5(-1 + x) = -8x + -15 x + (-1 * -5 + x * -5) = -8x + -15 x + (5 + -5x) = -8x + -15 Reorder the terms: 5 + x + -5x = -8x + -15 Combine like terms: x + -5x = -4x 5 + -4x = -8x + -15 Reorder the terms: 5 + -4x = -15 + -8x Solving 5 + -4x = -15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 5 + -4x + 8x = -15 + -8x + 8x Combine like terms: -4x + 8x = 4x 5 + 4x = -15 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 4x = -15 + 0 5 + 4x = -15 Add '-5' to each side of the equation. 5 + -5 + 4x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -15 + -5 4x = -15 + -5 Combine like terms: -15 + -5 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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