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Simplifying 0.5(-4 + 6x) = 0.33x + 0.66(x + 9) (-4 * 0.5 + 6x * 0.5) = 0.33x + 0.66(x + 9) (-2 + 3x) = 0.33x + 0.66(x + 9) Reorder the terms: -2 + 3x = 0.33x + 0.66(9 + x) -2 + 3x = 0.33x + (9 * 0.66 + x * 0.66) -2 + 3x = 0.33x + (5.94 + 0.66x) Reorder the terms: -2 + 3x = 5.94 + 0.33x + 0.66x Combine like terms: 0.33x + 0.66x = 0.99x -2 + 3x = 5.94 + 0.99x Solving -2 + 3x = 5.94 + 0.99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.99x' to each side of the equation. -2 + 3x + -0.99x = 5.94 + 0.99x + -0.99x Combine like terms: 3x + -0.99x = 2.01x -2 + 2.01x = 5.94 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 -2 + 2.01x = 5.94 + 0.00 -2 + 2.01x = 5.94 Add '2' to each side of the equation. -2 + 2 + 2.01x = 5.94 + 2 Combine like terms: -2 + 2 = 0 0 + 2.01x = 5.94 + 2 2.01x = 5.94 + 2 Combine like terms: 5.94 + 2 = 7.94 2.01x = 7.94 Divide each side by '2.01'. x = 3.950248756 Simplifying x = 3.950248756
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