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Simplifying 0.33(6x + -9) = 5x + 2(x + 9) Reorder the terms: 0.33(-9 + 6x) = 5x + 2(x + 9) (-9 * 0.33 + 6x * 0.33) = 5x + 2(x + 9) (-2.97 + 1.98x) = 5x + 2(x + 9) Reorder the terms: -2.97 + 1.98x = 5x + 2(9 + x) -2.97 + 1.98x = 5x + (9 * 2 + x * 2) -2.97 + 1.98x = 5x + (18 + 2x) Reorder the terms: -2.97 + 1.98x = 18 + 5x + 2x Combine like terms: 5x + 2x = 7x -2.97 + 1.98x = 18 + 7x Solving -2.97 + 1.98x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2.97 + 1.98x + -7x = 18 + 7x + -7x Combine like terms: 1.98x + -7x = -5.02x -2.97 + -5.02x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -2.97 + -5.02x = 18 + 0 -2.97 + -5.02x = 18 Add '2.97' to each side of the equation. -2.97 + 2.97 + -5.02x = 18 + 2.97 Combine like terms: -2.97 + 2.97 = 0.00 0.00 + -5.02x = 18 + 2.97 -5.02x = 18 + 2.97 Combine like terms: 18 + 2.97 = 20.97 -5.02x = 20.97 Divide each side by '-5.02'. x = -4.177290837 Simplifying x = -4.177290837
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