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Simplifying 0.3(x + 50) + -0.02(x + -10) = -1.6 Reorder the terms: 0.3(50 + x) + -0.02(x + -10) = -1.6 (50 * 0.3 + x * 0.3) + -0.02(x + -10) = -1.6 (15 + 0.3x) + -0.02(x + -10) = -1.6 Reorder the terms: 15 + 0.3x + -0.02(-10 + x) = -1.6 15 + 0.3x + (-10 * -0.02 + x * -0.02) = -1.6 15 + 0.3x + (0.2 + -0.02x) = -1.6 Reorder the terms: 15 + 0.2 + 0.3x + -0.02x = -1.6 Combine like terms: 15 + 0.2 = 15.2 15.2 + 0.3x + -0.02x = -1.6 Combine like terms: 0.3x + -0.02x = 0.28x 15.2 + 0.28x = -1.6 Solving 15.2 + 0.28x = -1.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.2' to each side of the equation. 15.2 + -15.2 + 0.28x = -1.6 + -15.2 Combine like terms: 15.2 + -15.2 = 0.0 0.0 + 0.28x = -1.6 + -15.2 0.28x = -1.6 + -15.2 Combine like terms: -1.6 + -15.2 = -16.8 0.28x = -16.8 Divide each side by '0.28'. x = -60 Simplifying x = -60
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