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Simplifying 0.33(15x + -18) = 0.5(30x + -10) + 8 Reorder the terms: 0.33(-18 + 15x) = 0.5(30x + -10) + 8 (-18 * 0.33 + 15x * 0.33) = 0.5(30x + -10) + 8 (-5.94 + 4.95x) = 0.5(30x + -10) + 8 Reorder the terms: -5.94 + 4.95x = 0.5(-10 + 30x) + 8 -5.94 + 4.95x = (-10 * 0.5 + 30x * 0.5) + 8 -5.94 + 4.95x = (-5 + 15x) + 8 Reorder the terms: -5.94 + 4.95x = -5 + 8 + 15x Combine like terms: -5 + 8 = 3 -5.94 + 4.95x = 3 + 15x Solving -5.94 + 4.95x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5.94 + 4.95x + -15x = 3 + 15x + -15x Combine like terms: 4.95x + -15x = -10.05x -5.94 + -10.05x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 -5.94 + -10.05x = 3 + 0 -5.94 + -10.05x = 3 Add '5.94' to each side of the equation. -5.94 + 5.94 + -10.05x = 3 + 5.94 Combine like terms: -5.94 + 5.94 = 0.00 0.00 + -10.05x = 3 + 5.94 -10.05x = 3 + 5.94 Combine like terms: 3 + 5.94 = 8.94 -10.05x = 8.94 Divide each side by '-10.05'. x = -0.8895522388 Simplifying x = -0.8895522388
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