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Simplifying 0.50(4x + -8) = 0.33(3x + 9) Reorder the terms: 0.50(-8 + 4x) = 0.33(3x + 9) (-8 * 0.50 + 4x * 0.50) = 0.33(3x + 9) (-4 + 2x) = 0.33(3x + 9) Reorder the terms: -4 + 2x = 0.33(9 + 3x) -4 + 2x = (9 * 0.33 + 3x * 0.33) -4 + 2x = (2.97 + 0.99x) Solving -4 + 2x = 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. -4 + 2x + -0.99x = 2.97 + 0.99x + -0.99x Combine like terms: 2x + -0.99x = 1.01x -4 + 1.01x = 2.97 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 -4 + 1.01x = 2.97 + 0.00 -4 + 1.01x = 2.97 Add '4' to each side of the equation. -4 + 4 + 1.01x = 2.97 + 4 Combine like terms: -4 + 4 = 0 0 + 1.01x = 2.97 + 4 1.01x = 2.97 + 4 Combine like terms: 2.97 + 4 = 6.97 1.01x = 6.97 Divide each side by '1.01'. x = 6.900990099 Simplifying x = 6.900990099
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