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Simplifying 51.96 + 0.14x = 39.96 + 0.18x Solving 51.96 + 0.14x = 39.96 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 51.96 + 0.14x + -0.18x = 39.96 + 0.18x + -0.18x Combine like terms: 0.14x + -0.18x = -0.04x 51.96 + -0.04x = 39.96 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 51.96 + -0.04x = 39.96 + 0.00 51.96 + -0.04x = 39.96 Add '-51.96' to each side of the equation. 51.96 + -51.96 + -0.04x = 39.96 + -51.96 Combine like terms: 51.96 + -51.96 = 0.00 0.00 + -0.04x = 39.96 + -51.96 -0.04x = 39.96 + -51.96 Combine like terms: 39.96 + -51.96 = -12 -0.04x = -12 Divide each side by '-0.04'. x = 300 Simplifying x = 300
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