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Simplifying 0.33(6x + -9) = 1.5(4x + -5) Reorder the terms: 0.33(-9 + 6x) = 1.5(4x + -5) (-9 * 0.33 + 6x * 0.33) = 1.5(4x + -5) (-2.97 + 1.98x) = 1.5(4x + -5) Reorder the terms: -2.97 + 1.98x = 1.5(-5 + 4x) -2.97 + 1.98x = (-5 * 1.5 + 4x * 1.5) -2.97 + 1.98x = (-7.5 + 6x) Solving -2.97 + 1.98x = -7.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2.97 + 1.98x + -6x = -7.5 + 6x + -6x Combine like terms: 1.98x + -6x = -4.02x -2.97 + -4.02x = -7.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -2.97 + -4.02x = -7.5 + 0 -2.97 + -4.02x = -7.5 Add '2.97' to each side of the equation. -2.97 + 2.97 + -4.02x = -7.5 + 2.97 Combine like terms: -2.97 + 2.97 = 0.00 0.00 + -4.02x = -7.5 + 2.97 -4.02x = -7.5 + 2.97 Combine like terms: -7.5 + 2.97 = -4.53 -4.02x = -4.53 Divide each side by '-4.02'. x = 1.126865672 Simplifying x = 1.126865672
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