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Simplifying 0.3(9x + -6) = 2x + 3 Reorder the terms: 0.3(-6 + 9x) = 2x + 3 (-6 * 0.3 + 9x * 0.3) = 2x + 3 (-1.8 + 2.7x) = 2x + 3 Reorder the terms: -1.8 + 2.7x = 3 + 2x Solving -1.8 + 2.7x = 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. -1.8 + 2.7x + -2x = 3 + 2x + -2x Combine like terms: 2.7x + -2x = 0.7x -1.8 + 0.7x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.8 + 0.7x = 3 + 0 -1.8 + 0.7x = 3 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.7x = 3 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.7x = 3 + 1.8 0.7x = 3 + 1.8 Combine like terms: 3 + 1.8 = 4.8 0.7x = 4.8 Divide each side by '0.7'. x = 6.857142857 Simplifying x = 6.857142857
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