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Simplifying 0.5(5x + 4) = 0.33(3x + -5) Reorder the terms: 0.5(4 + 5x) = 0.33(3x + -5) (4 * 0.5 + 5x * 0.5) = 0.33(3x + -5) (2 + 2.5x) = 0.33(3x + -5) Reorder the terms: 2 + 2.5x = 0.33(-5 + 3x) 2 + 2.5x = (-5 * 0.33 + 3x * 0.33) 2 + 2.5x = (-1.65 + 0.99x) Solving 2 + 2.5x = -1.65 + 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 + 2.5x + -0.99x = -1.65 + 0.99x + -0.99x Combine like terms: 2.5x + -0.99x = 1.51x 2 + 1.51x = -1.65 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 2 + 1.51x = -1.65 + 0.00 2 + 1.51x = -1.65 Add '-2' to each side of the equation. 2 + -2 + 1.51x = -1.65 + -2 Combine like terms: 2 + -2 = 0 0 + 1.51x = -1.65 + -2 1.51x = -1.65 + -2 Combine like terms: -1.65 + -2 = -3.65 1.51x = -3.65 Divide each side by '1.51'. x = -2.417218543 Simplifying x = -2.417218543
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