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Simplifying 0.5(4x + 8) = 0.33(12x + -6) Reorder the terms: 0.5(8 + 4x) = 0.33(12x + -6) (8 * 0.5 + 4x * 0.5) = 0.33(12x + -6) (4 + 2x) = 0.33(12x + -6) Reorder the terms: 4 + 2x = 0.33(-6 + 12x) 4 + 2x = (-6 * 0.33 + 12x * 0.33) 4 + 2x = (-1.98 + 3.96x) Solving 4 + 2x = -1.98 + 3.96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.96x' to each side of the equation. 4 + 2x + -3.96x = -1.98 + 3.96x + -3.96x Combine like terms: 2x + -3.96x = -1.96x 4 + -1.96x = -1.98 + 3.96x + -3.96x Combine like terms: 3.96x + -3.96x = 0.00 4 + -1.96x = -1.98 + 0.00 4 + -1.96x = -1.98 Add '-4' to each side of the equation. 4 + -4 + -1.96x = -1.98 + -4 Combine like terms: 4 + -4 = 0 0 + -1.96x = -1.98 + -4 -1.96x = -1.98 + -4 Combine like terms: -1.98 + -4 = -5.98 -1.96x = -5.98 Divide each side by '-1.96'. x = 3.051020408 Simplifying x = 3.051020408
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