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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 = 2.02 -1.96x = 2.02 Divide each side by '-1.96'. x = -1.030612245 Simplifying x = -1.030612245
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