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Simplifying 2x + -11(3x + 1) + 5x + -1(4x + 2) = 0 Reorder the terms: 2x + -11(1 + 3x) + 5x + -1(4x + 2) = 0 2x + (1 * -11 + 3x * -11) + 5x + -1(4x + 2) = 0 2x + (-11 + -33x) + 5x + -1(4x + 2) = 0 Reorder the terms: 2x + -11 + -33x + 5x + -1(2 + 4x) = 0 2x + -11 + -33x + 5x + (2 * -1 + 4x * -1) = 0 2x + -11 + -33x + 5x + (-2 + -4x) = 0 Reorder the terms: -11 + -2 + 2x + -33x + 5x + -4x = 0 Combine like terms: -11 + -2 = -13 -13 + 2x + -33x + 5x + -4x = 0 Combine like terms: 2x + -33x = -31x -13 + -31x + 5x + -4x = 0 Combine like terms: -31x + 5x = -26x -13 + -26x + -4x = 0 Combine like terms: -26x + -4x = -30x -13 + -30x = 0 Solving -13 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -30x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -30x = 0 + 13 -30x = 0 + 13 Combine like terms: 0 + 13 = 13 -30x = 13 Divide each side by '-30'. x = -0.4333333333 Simplifying x = -0.4333333333
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