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Simplifying 0.38(x + -55) + 0.09x = 0.82x + -261.5 Reorder the terms: 0.38(-55 + x) + 0.09x = 0.82x + -261.5 (-55 * 0.38 + x * 0.38) + 0.09x = 0.82x + -261.5 (-20.9 + 0.38x) + 0.09x = 0.82x + -261.5 Combine like terms: 0.38x + 0.09x = 0.47x -20.9 + 0.47x = 0.82x + -261.5 Reorder the terms: -20.9 + 0.47x = -261.5 + 0.82x Solving -20.9 + 0.47x = -261.5 + 0.82x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.82x' to each side of the equation. -20.9 + 0.47x + -0.82x = -261.5 + 0.82x + -0.82x Combine like terms: 0.47x + -0.82x = -0.35x -20.9 + -0.35x = -261.5 + 0.82x + -0.82x Combine like terms: 0.82x + -0.82x = 0.00 -20.9 + -0.35x = -261.5 + 0.00 -20.9 + -0.35x = -261.5 Add '20.9' to each side of the equation. -20.9 + 20.9 + -0.35x = -261.5 + 20.9 Combine like terms: -20.9 + 20.9 = 0.0 0.0 + -0.35x = -261.5 + 20.9 -0.35x = -261.5 + 20.9 Combine like terms: -261.5 + 20.9 = -240.6 -0.35x = -240.6 Divide each side by '-0.35'. x = 687.4285714 Simplifying x = 687.4285714
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