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Simplifying 0.1(x + 50) + -0.04(x + -40) = 3 Reorder the terms: 0.1(50 + x) + -0.04(x + -40) = 3 (50 * 0.1 + x * 0.1) + -0.04(x + -40) = 3 (5 + 0.1x) + -0.04(x + -40) = 3 Reorder the terms: 5 + 0.1x + -0.04(-40 + x) = 3 5 + 0.1x + (-40 * -0.04 + x * -0.04) = 3 5 + 0.1x + (1.6 + -0.04x) = 3 Reorder the terms: 5 + 1.6 + 0.1x + -0.04x = 3 Combine like terms: 5 + 1.6 = 6.6 6.6 + 0.1x + -0.04x = 3 Combine like terms: 0.1x + -0.04x = 0.06x 6.6 + 0.06x = 3 Solving 6.6 + 0.06x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.6' to each side of the equation. 6.6 + -6.6 + 0.06x = 3 + -6.6 Combine like terms: 6.6 + -6.6 = 0.0 0.0 + 0.06x = 3 + -6.6 0.06x = 3 + -6.6 Combine like terms: 3 + -6.6 = -3.6 0.06x = -3.6 Divide each side by '0.06'. x = -60 Simplifying x = -60
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