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Simplifying 40.5 + 0.45x + 0.40x = x Combine like terms: 0.45x + 0.40x = 0.85x 40.5 + 0.85x = x Solving 40.5 + 0.85x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 40.5 + 0.85x + -1x = x + -1x Combine like terms: 0.85x + -1x = -0.15x 40.5 + -0.15x = x + -1x Combine like terms: x + -1x = 0 40.5 + -0.15x = 0 Add '-40.5' to each side of the equation. 40.5 + -40.5 + -0.15x = 0 + -40.5 Combine like terms: 40.5 + -40.5 = 0.0 0.0 + -0.15x = 0 + -40.5 -0.15x = 0 + -40.5 Combine like terms: 0 + -40.5 = -40.5 -0.15x = -40.5 Divide each side by '-0.15'. x = 270 Simplifying x = 270
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