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Simplifying 45 + 0.20x = 32 + 0.30x Solving 45 + 0.20x = 32 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 45 + 0.20x + -0.30x = 32 + 0.30x + -0.30x Combine like terms: 0.20x + -0.30x = -0.1x 45 + -0.1x = 32 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 45 + -0.1x = 32 + 0.00 45 + -0.1x = 32 Add '-45' to each side of the equation. 45 + -45 + -0.1x = 32 + -45 Combine like terms: 45 + -45 = 0 0 + -0.1x = 32 + -45 -0.1x = 32 + -45 Combine like terms: 32 + -45 = -13 -0.1x = -13 Divide each side by '-0.1'. x = 130 Simplifying x = 130
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