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Simplifying 0.006(x + 20) + 0.08(x + -10) = 4.6 Reorder the terms: 0.006(20 + x) + 0.08(x + -10) = 4.6 (20 * 0.006 + x * 0.006) + 0.08(x + -10) = 4.6 (0.12 + 0.006x) + 0.08(x + -10) = 4.6 Reorder the terms: 0.12 + 0.006x + 0.08(-10 + x) = 4.6 0.12 + 0.006x + (-10 * 0.08 + x * 0.08) = 4.6 0.12 + 0.006x + (-0.8 + 0.08x) = 4.6 Reorder the terms: 0.12 + -0.8 + 0.006x + 0.08x = 4.6 Combine like terms: 0.12 + -0.8 = -0.68 -0.68 + 0.006x + 0.08x = 4.6 Combine like terms: 0.006x + 0.08x = 0.086x -0.68 + 0.086x = 4.6 Solving -0.68 + 0.086x = 4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.68' to each side of the equation. -0.68 + 0.68 + 0.086x = 4.6 + 0.68 Combine like terms: -0.68 + 0.68 = 0.00 0.00 + 0.086x = 4.6 + 0.68 0.086x = 4.6 + 0.68 Combine like terms: 4.6 + 0.68 = 5.28 0.086x = 5.28 Divide each side by '0.086'. x = 61.39534884 Simplifying x = 61.39534884
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