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Simplifying 2x + -1(-1 + -1x) = 4 + -6(1 + -1x) 2x + (-1 * -1 + -1x * -1) = 4 + -6(1 + -1x) 2x + (1 + 1x) = 4 + -6(1 + -1x) Reorder the terms: 1 + 2x + 1x = 4 + -6(1 + -1x) Combine like terms: 2x + 1x = 3x 1 + 3x = 4 + -6(1 + -1x) 1 + 3x = 4 + (1 * -6 + -1x * -6) 1 + 3x = 4 + (-6 + 6x) Combine like terms: 4 + -6 = -2 1 + 3x = -2 + 6x Solving 1 + 3x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 3x + -6x = -2 + 6x + -6x Combine like terms: 3x + -6x = -3x 1 + -3x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -3x = -2 + 0 1 + -3x = -2 Add '-1' to each side of the equation. 1 + -1 + -3x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -2 + -1 -3x = -2 + -1 Combine like terms: -2 + -1 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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