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Simplifying 6(1 + -2x) + -1x = -46 (1 * 6 + -2x * 6) + -1x = -46 (6 + -12x) + -1x = -46 Combine like terms: -12x + -1x = -13x 6 + -13x = -46 Solving 6 + -13x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -13x = -46 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -46 + -6 -13x = -46 + -6 Combine like terms: -46 + -6 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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