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Simplifying 4(3 + -5x) + -11x = 3x + 6 (3 * 4 + -5x * 4) + -11x = 3x + 6 (12 + -20x) + -11x = 3x + 6 Combine like terms: -20x + -11x = -31x 12 + -31x = 3x + 6 Reorder the terms: 12 + -31x = 6 + 3x Solving 12 + -31x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -31x + -3x = 6 + 3x + -3x Combine like terms: -31x + -3x = -34x 12 + -34x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -34x = 6 + 0 12 + -34x = 6 Add '-12' to each side of the equation. 12 + -12 + -34x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -34x = 6 + -12 -34x = 6 + -12 Combine like terms: 6 + -12 = -6 -34x = -6 Divide each side by '-34'. x = 0.1764705882 Simplifying x = 0.1764705882
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