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