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Simplifying 3(11x + -50) = 4 + -5(x + 6) Reorder the terms: 3(-50 + 11x) = 4 + -5(x + 6) (-50 * 3 + 11x * 3) = 4 + -5(x + 6) (-150 + 33x) = 4 + -5(x + 6) Reorder the terms: -150 + 33x = 4 + -5(6 + x) -150 + 33x = 4 + (6 * -5 + x * -5) -150 + 33x = 4 + (-30 + -5x) Combine like terms: 4 + -30 = -26 -150 + 33x = -26 + -5x Solving -150 + 33x = -26 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -150 + 33x + 5x = -26 + -5x + 5x Combine like terms: 33x + 5x = 38x -150 + 38x = -26 + -5x + 5x Combine like terms: -5x + 5x = 0 -150 + 38x = -26 + 0 -150 + 38x = -26 Add '150' to each side of the equation. -150 + 150 + 38x = -26 + 150 Combine like terms: -150 + 150 = 0 0 + 38x = -26 + 150 38x = -26 + 150 Combine like terms: -26 + 150 = 124 38x = 124 Divide each side by '38'. x = 3.263157895 Simplifying x = 3.263157895
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