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Simplifying 4x + -20 + 2 = 0.33(x + 9) + 0.66x Reorder the terms: -20 + 2 + 4x = 0.33(x + 9) + 0.66x Combine like terms: -20 + 2 = -18 -18 + 4x = 0.33(x + 9) + 0.66x Reorder the terms: -18 + 4x = 0.33(9 + x) + 0.66x -18 + 4x = (9 * 0.33 + x * 0.33) + 0.66x -18 + 4x = (2.97 + 0.33x) + 0.66x Combine like terms: 0.33x + 0.66x = 0.99x -18 + 4x = 2.97 + 0.99x Solving -18 + 4x = 2.97 + 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. -18 + 4x + -0.99x = 2.97 + 0.99x + -0.99x Combine like terms: 4x + -0.99x = 3.01x -18 + 3.01x = 2.97 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 -18 + 3.01x = 2.97 + 0.00 -18 + 3.01x = 2.97 Add '18' to each side of the equation. -18 + 18 + 3.01x = 2.97 + 18 Combine like terms: -18 + 18 = 0 0 + 3.01x = 2.97 + 18 3.01x = 2.97 + 18 Combine like terms: 2.97 + 18 = 20.97 3.01x = 20.97 Divide each side by '3.01'. x = 6.966777409 Simplifying x = 6.966777409
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