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