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Simplifying 0.5(4x + -10) = 0.33(6x + 12) Reorder the terms: 0.5(-10 + 4x) = 0.33(6x + 12) (-10 * 0.5 + 4x * 0.5) = 0.33(6x + 12) (-5 + 2x) = 0.33(6x + 12) Reorder the terms: -5 + 2x = 0.33(12 + 6x) -5 + 2x = (12 * 0.33 + 6x * 0.33) -5 + 2x = (3.96 + 1.98x) Solving -5 + 2x = 3.96 + 1.98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.98x' to each side of the equation. -5 + 2x + -1.98x = 3.96 + 1.98x + -1.98x Combine like terms: 2x + -1.98x = 0.02x -5 + 0.02x = 3.96 + 1.98x + -1.98x Combine like terms: 1.98x + -1.98x = 0.00 -5 + 0.02x = 3.96 + 0.00 -5 + 0.02x = 3.96 Add '5' to each side of the equation. -5 + 5 + 0.02x = 3.96 + 5 Combine like terms: -5 + 5 = 0 0 + 0.02x = 3.96 + 5 0.02x = 3.96 + 5 Combine like terms: 3.96 + 5 = 8.96 0.02x = 8.96 Divide each side by '0.02'. x = 448 Simplifying x = 448
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