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Simplifying x + -1(5x + -1) = x + 2 + -4(1 + x) Reorder the terms: x + -1(-1 + 5x) = x + 2 + -4(1 + x) x + (-1 * -1 + 5x * -1) = x + 2 + -4(1 + x) x + (1 + -5x) = x + 2 + -4(1 + x) Reorder the terms: 1 + x + -5x = x + 2 + -4(1 + x) Combine like terms: x + -5x = -4x 1 + -4x = x + 2 + -4(1 + x) 1 + -4x = x + 2 + (1 * -4 + x * -4) 1 + -4x = x + 2 + (-4 + -4x) Reorder the terms: 1 + -4x = 2 + -4 + x + -4x Combine like terms: 2 + -4 = -2 1 + -4x = -2 + x + -4x Combine like terms: x + -4x = -3x 1 + -4x = -2 + -3x Solving 1 + -4x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + -4x + 3x = -2 + -3x + 3x Combine like terms: -4x + 3x = -1x 1 + -1x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + -1x = -2 + 0 1 + -1x = -2 Add '-1' to each side of the equation. 1 + -1 + -1x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -2 + -1 -1x = -2 + -1 Combine like terms: -2 + -1 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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