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Simplifying 5(2 + -1(1 + -1x)) = 4x + -15 5(2 + (1 * -1 + -1x * -1)) = 4x + -15 5(2 + (-1 + 1x)) = 4x + -15 Combine like terms: 2 + -1 = 1 5(1 + 1x) = 4x + -15 (1 * 5 + 1x * 5) = 4x + -15 (5 + 5x) = 4x + -15 Reorder the terms: 5 + 5x = -15 + 4x Solving 5 + 5x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 5x + -4x = -15 + 4x + -4x Combine like terms: 5x + -4x = 1x 5 + 1x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 1x = -15 + 0 5 + 1x = -15 Add '-5' to each side of the equation. 5 + -5 + 1x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -15 + -5 1x = -15 + -5 Combine like terms: -15 + -5 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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