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Simplifying 0.33(9x + -6) = 2x + 3 Reorder the terms: 0.33(-6 + 9x) = 2x + 3 (-6 * 0.33 + 9x * 0.33) = 2x + 3 (-1.98 + 2.97x) = 2x + 3 Reorder the terms: -1.98 + 2.97x = 3 + 2x Solving -1.98 + 2.97x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1.98 + 2.97x + -2x = 3 + 2x + -2x Combine like terms: 2.97x + -2x = 0.97x -1.98 + 0.97x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.98 + 0.97x = 3 + 0 -1.98 + 0.97x = 3 Add '1.98' to each side of the equation. -1.98 + 1.98 + 0.97x = 3 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + 0.97x = 3 + 1.98 0.97x = 3 + 1.98 Combine like terms: 3 + 1.98 = 4.98 0.97x = 4.98 Divide each side by '0.97'. x = 5.134020619 Simplifying x = 5.134020619
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