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Simplifying -7 + -2(1 + -3x) = 46 + 11x -7 + (1 * -2 + -3x * -2) = 46 + 11x -7 + (-2 + 6x) = 46 + 11x Combine like terms: -7 + -2 = -9 -9 + 6x = 46 + 11x Solving -9 + 6x = 46 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -9 + 6x + -11x = 46 + 11x + -11x Combine like terms: 6x + -11x = -5x -9 + -5x = 46 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + -5x = 46 + 0 -9 + -5x = 46 Add '9' to each side of the equation. -9 + 9 + -5x = 46 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 46 + 9 -5x = 46 + 9 Combine like terms: 46 + 9 = 55 -5x = 55 Divide each side by '-5'. x = -11 Simplifying x = -11
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