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Simplifying 0.03(x + -6) + 0.02(x + -4) = 5.24 Reorder the terms: 0.03(-6 + x) + 0.02(x + -4) = 5.24 (-6 * 0.03 + x * 0.03) + 0.02(x + -4) = 5.24 (-0.18 + 0.03x) + 0.02(x + -4) = 5.24 Reorder the terms: -0.18 + 0.03x + 0.02(-4 + x) = 5.24 -0.18 + 0.03x + (-4 * 0.02 + x * 0.02) = 5.24 -0.18 + 0.03x + (-0.08 + 0.02x) = 5.24 Reorder the terms: -0.18 + -0.08 + 0.03x + 0.02x = 5.24 Combine like terms: -0.18 + -0.08 = -0.26 -0.26 + 0.03x + 0.02x = 5.24 Combine like terms: 0.03x + 0.02x = 0.05x -0.26 + 0.05x = 5.24 Solving -0.26 + 0.05x = 5.24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.26' to each side of the equation. -0.26 + 0.26 + 0.05x = 5.24 + 0.26 Combine like terms: -0.26 + 0.26 = 0.00 0.00 + 0.05x = 5.24 + 0.26 0.05x = 5.24 + 0.26 Combine like terms: 5.24 + 0.26 = 5.5 0.05x = 5.5 Divide each side by '0.05'. x = 110 Simplifying x = 110
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