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Simplifying 0.19(x + 50) + 0.19(x + 20) = -13.3 Reorder the terms: 0.19(50 + x) + 0.19(x + 20) = -13.3 (50 * 0.19 + x * 0.19) + 0.19(x + 20) = -13.3 (9.5 + 0.19x) + 0.19(x + 20) = -13.3 Reorder the terms: 9.5 + 0.19x + 0.19(20 + x) = -13.3 9.5 + 0.19x + (20 * 0.19 + x * 0.19) = -13.3 9.5 + 0.19x + (3.8 + 0.19x) = -13.3 Reorder the terms: 9.5 + 3.8 + 0.19x + 0.19x = -13.3 Combine like terms: 9.5 + 3.8 = 13.3 13.3 + 0.19x + 0.19x = -13.3 Combine like terms: 0.19x + 0.19x = 0.38x 13.3 + 0.38x = -13.3 Solving 13.3 + 0.38x = -13.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.3' to each side of the equation. 13.3 + -13.3 + 0.38x = -13.3 + -13.3 Combine like terms: 13.3 + -13.3 = 0.0 0.0 + 0.38x = -13.3 + -13.3 0.38x = -13.3 + -13.3 Combine like terms: -13.3 + -13.3 = -26.6 0.38x = -26.6 Divide each side by '0.38'. x = -70 Simplifying x = -70
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