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Simplifying 0.1(x + 30) + -0.07(x + -40) = 4 Reorder the terms: 0.1(30 + x) + -0.07(x + -40) = 4 (30 * 0.1 + x * 0.1) + -0.07(x + -40) = 4 (3 + 0.1x) + -0.07(x + -40) = 4 Reorder the terms: 3 + 0.1x + -0.07(-40 + x) = 4 3 + 0.1x + (-40 * -0.07 + x * -0.07) = 4 3 + 0.1x + (2.8 + -0.07x) = 4 Reorder the terms: 3 + 2.8 + 0.1x + -0.07x = 4 Combine like terms: 3 + 2.8 = 5.8 5.8 + 0.1x + -0.07x = 4 Combine like terms: 0.1x + -0.07x = 0.03x 5.8 + 0.03x = 4 Solving 5.8 + 0.03x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.8' to each side of the equation. 5.8 + -5.8 + 0.03x = 4 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 0.03x = 4 + -5.8 0.03x = 4 + -5.8 Combine like terms: 4 + -5.8 = -1.8 0.03x = -1.8 Divide each side by '0.03'. x = -60 Simplifying x = -60
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