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Simplifying 3(x + 10) + -0.07(x + -40) = 8.1 Reorder the terms: 3(10 + x) + -0.07(x + -40) = 8.1 (10 * 3 + x * 3) + -0.07(x + -40) = 8.1 (30 + 3x) + -0.07(x + -40) = 8.1 Reorder the terms: 30 + 3x + -0.07(-40 + x) = 8.1 30 + 3x + (-40 * -0.07 + x * -0.07) = 8.1 30 + 3x + (2.8 + -0.07x) = 8.1 Reorder the terms: 30 + 2.8 + 3x + -0.07x = 8.1 Combine like terms: 30 + 2.8 = 32.8 32.8 + 3x + -0.07x = 8.1 Combine like terms: 3x + -0.07x = 2.93x 32.8 + 2.93x = 8.1 Solving 32.8 + 2.93x = 8.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32.8' to each side of the equation. 32.8 + -32.8 + 2.93x = 8.1 + -32.8 Combine like terms: 32.8 + -32.8 = 0.0 0.0 + 2.93x = 8.1 + -32.8 2.93x = 8.1 + -32.8 Combine like terms: 8.1 + -32.8 = -24.7 2.93x = -24.7 Divide each side by '2.93'. x = -8.43003413 Simplifying x = -8.43003413
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