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Simplifying 6(3x + -5) + -5(2x + 9) = -6(2x + 5) Reorder the terms: 6(-5 + 3x) + -5(2x + 9) = -6(2x + 5) (-5 * 6 + 3x * 6) + -5(2x + 9) = -6(2x + 5) (-30 + 18x) + -5(2x + 9) = -6(2x + 5) Reorder the terms: -30 + 18x + -5(9 + 2x) = -6(2x + 5) -30 + 18x + (9 * -5 + 2x * -5) = -6(2x + 5) -30 + 18x + (-45 + -10x) = -6(2x + 5) Reorder the terms: -30 + -45 + 18x + -10x = -6(2x + 5) Combine like terms: -30 + -45 = -75 -75 + 18x + -10x = -6(2x + 5) Combine like terms: 18x + -10x = 8x -75 + 8x = -6(2x + 5) Reorder the terms: -75 + 8x = -6(5 + 2x) -75 + 8x = (5 * -6 + 2x * -6) -75 + 8x = (-30 + -12x) Solving -75 + 8x = -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. -75 + 8x + 12x = -30 + -12x + 12x Combine like terms: 8x + 12x = 20x -75 + 20x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 -75 + 20x = -30 + 0 -75 + 20x = -30 Add '75' to each side of the equation. -75 + 75 + 20x = -30 + 75 Combine like terms: -75 + 75 = 0 0 + 20x = -30 + 75 20x = -30 + 75 Combine like terms: -30 + 75 = 45 20x = 45 Divide each side by '20'. x = 2.25 Simplifying x = 2.25
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