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Simplifying 0.03(x + -40) + 0.09(x + 10) = 45 Reorder the terms: 0.03(-40 + x) + 0.09(x + 10) = 45 (-40 * 0.03 + x * 0.03) + 0.09(x + 10) = 45 (-1.2 + 0.03x) + 0.09(x + 10) = 45 Reorder the terms: -1.2 + 0.03x + 0.09(10 + x) = 45 -1.2 + 0.03x + (10 * 0.09 + x * 0.09) = 45 -1.2 + 0.03x + (0.9 + 0.09x) = 45 Reorder the terms: -1.2 + 0.9 + 0.03x + 0.09x = 45 Combine like terms: -1.2 + 0.9 = -0.3 -0.3 + 0.03x + 0.09x = 45 Combine like terms: 0.03x + 0.09x = 0.12x -0.3 + 0.12x = 45 Solving -0.3 + 0.12x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.12x = 45 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.12x = 45 + 0.3 0.12x = 45 + 0.3 Combine like terms: 45 + 0.3 = 45.3 0.12x = 45.3 Divide each side by '0.12'. x = 377.5 Simplifying x = 377.5
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