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Simplifying -4(3 + -5x) + -11 = 3x + 6 (3 * -4 + -5x * -4) + -11 = 3x + 6 (-12 + 20x) + -11 = 3x + 6 Reorder the terms: -12 + -11 + 20x = 3x + 6 Combine like terms: -12 + -11 = -23 -23 + 20x = 3x + 6 Reorder the terms: -23 + 20x = 6 + 3x Solving -23 + 20x = 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. -23 + 20x + -3x = 6 + 3x + -3x Combine like terms: 20x + -3x = 17x -23 + 17x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 17x = 6 + 0 -23 + 17x = 6 Add '23' to each side of the equation. -23 + 23 + 17x = 6 + 23 Combine like terms: -23 + 23 = 0 0 + 17x = 6 + 23 17x = 6 + 23 Combine like terms: 6 + 23 = 29 17x = 29 Divide each side by '17'. x = 1.705882353 Simplifying x = 1.705882353
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