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Simplifying x + 1 + -4(-4x + -1) = 5(x + -2) Reorder the terms: x + 1 + -4(-1 + -4x) = 5(x + -2) x + 1 + (-1 * -4 + -4x * -4) = 5(x + -2) x + 1 + (4 + 16x) = 5(x + -2) Reorder the terms: 1 + 4 + x + 16x = 5(x + -2) Combine like terms: 1 + 4 = 5 5 + x + 16x = 5(x + -2) Combine like terms: x + 16x = 17x 5 + 17x = 5(x + -2) Reorder the terms: 5 + 17x = 5(-2 + x) 5 + 17x = (-2 * 5 + x * 5) 5 + 17x = (-10 + 5x) Solving 5 + 17x = -10 + 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. 5 + 17x + -5x = -10 + 5x + -5x Combine like terms: 17x + -5x = 12x 5 + 12x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 12x = -10 + 0 5 + 12x = -10 Add '-5' to each side of the equation. 5 + -5 + 12x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -10 + -5 12x = -10 + -5 Combine like terms: -10 + -5 = -15 12x = -15 Divide each side by '12'. x = -1.25 Simplifying x = -1.25
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