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Simplifying 1 + -6x = 4x + -1(3 + -2x) 1 + -6x = 4x + (3 * -1 + -2x * -1) 1 + -6x = 4x + (-3 + 2x) Reorder the terms: 1 + -6x = -3 + 4x + 2x Combine like terms: 4x + 2x = 6x 1 + -6x = -3 + 6x Solving 1 + -6x = -3 + 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 + -6x + -6x = -3 + 6x + -6x Combine like terms: -6x + -6x = -12x 1 + -12x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -12x = -3 + 0 1 + -12x = -3 Add '-1' to each side of the equation. 1 + -1 + -12x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -3 + -1 -12x = -3 + -1 Combine like terms: -3 + -1 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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