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Simplifying 0.2(x + 50) + -0.03(x + -40) = 4.4 Reorder the terms: 0.2(50 + x) + -0.03(x + -40) = 4.4 (50 * 0.2 + x * 0.2) + -0.03(x + -40) = 4.4 (10 + 0.2x) + -0.03(x + -40) = 4.4 Reorder the terms: 10 + 0.2x + -0.03(-40 + x) = 4.4 10 + 0.2x + (-40 * -0.03 + x * -0.03) = 4.4 10 + 0.2x + (1.2 + -0.03x) = 4.4 Reorder the terms: 10 + 1.2 + 0.2x + -0.03x = 4.4 Combine like terms: 10 + 1.2 = 11.2 11.2 + 0.2x + -0.03x = 4.4 Combine like terms: 0.2x + -0.03x = 0.17x 11.2 + 0.17x = 4.4 Solving 11.2 + 0.17x = 4.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.2' to each side of the equation. 11.2 + -11.2 + 0.17x = 4.4 + -11.2 Combine like terms: 11.2 + -11.2 = 0.0 0.0 + 0.17x = 4.4 + -11.2 0.17x = 4.4 + -11.2 Combine like terms: 4.4 + -11.2 = -6.8 0.17x = -6.8 Divide each side by '0.17'. x = -40 Simplifying x = -40
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