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Simplifying 0.07(x + -40) + -0.05(x + 30) = -1.7 Reorder the terms: 0.07(-40 + x) + -0.05(x + 30) = -1.7 (-40 * 0.07 + x * 0.07) + -0.05(x + 30) = -1.7 (-2.8 + 0.07x) + -0.05(x + 30) = -1.7 Reorder the terms: -2.8 + 0.07x + -0.05(30 + x) = -1.7 -2.8 + 0.07x + (30 * -0.05 + x * -0.05) = -1.7 -2.8 + 0.07x + (-1.5 + -0.05x) = -1.7 Reorder the terms: -2.8 + -1.5 + 0.07x + -0.05x = -1.7 Combine like terms: -2.8 + -1.5 = -4.3 -4.3 + 0.07x + -0.05x = -1.7 Combine like terms: 0.07x + -0.05x = 0.02x -4.3 + 0.02x = -1.7 Solving -4.3 + 0.02x = -1.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.3' to each side of the equation. -4.3 + 4.3 + 0.02x = -1.7 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 0.02x = -1.7 + 4.3 0.02x = -1.7 + 4.3 Combine like terms: -1.7 + 4.3 = 2.6 0.02x = 2.6 Divide each side by '0.02'. x = 130 Simplifying x = 130
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