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Simplifying -0.33(12x + 3) + 0.125(48x + 40) = 0 Reorder the terms: -0.33(3 + 12x) + 0.125(48x + 40) = 0 (3 * -0.33 + 12x * -0.33) + 0.125(48x + 40) = 0 (-0.99 + -3.96x) + 0.125(48x + 40) = 0 Reorder the terms: -0.99 + -3.96x + 0.125(40 + 48x) = 0 -0.99 + -3.96x + (40 * 0.125 + 48x * 0.125) = 0 -0.99 + -3.96x + (5 + 6x) = 0 Reorder the terms: -0.99 + 5 + -3.96x + 6x = 0 Combine like terms: -0.99 + 5 = 4.01 4.01 + -3.96x + 6x = 0 Combine like terms: -3.96x + 6x = 2.04x 4.01 + 2.04x = 0 Solving 4.01 + 2.04x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.01' to each side of the equation. 4.01 + -4.01 + 2.04x = 0 + -4.01 Combine like terms: 4.01 + -4.01 = 0.00 0.00 + 2.04x = 0 + -4.01 2.04x = 0 + -4.01 Combine like terms: 0 + -4.01 = -4.01 2.04x = -4.01 Divide each side by '2.04'. x = -1.965686275 Simplifying x = -1.965686275
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