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Simplifying 4(5x + -11) = 6(2x + -5) Reorder the terms: 4(-11 + 5x) = 6(2x + -5) (-11 * 4 + 5x * 4) = 6(2x + -5) (-44 + 20x) = 6(2x + -5) Reorder the terms: -44 + 20x = 6(-5 + 2x) -44 + 20x = (-5 * 6 + 2x * 6) -44 + 20x = (-30 + 12x) Solving -44 + 20x = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -44 + 20x + -12x = -30 + 12x + -12x Combine like terms: 20x + -12x = 8x -44 + 8x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -44 + 8x = -30 + 0 -44 + 8x = -30 Add '44' to each side of the equation. -44 + 44 + 8x = -30 + 44 Combine like terms: -44 + 44 = 0 0 + 8x = -30 + 44 8x = -30 + 44 Combine like terms: -30 + 44 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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