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Simplifying 1.3x + 64.2 = 2.7x + 12.82 Reorder the terms: 64.2 + 1.3x = 2.7x + 12.82 Reorder the terms: 64.2 + 1.3x = 12.82 + 2.7x Solving 64.2 + 1.3x = 12.82 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 64.2 + 1.3x + -2.7x = 12.82 + 2.7x + -2.7x Combine like terms: 1.3x + -2.7x = -1.4x 64.2 + -1.4x = 12.82 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 64.2 + -1.4x = 12.82 + 0.0 64.2 + -1.4x = 12.82 Add '-64.2' to each side of the equation. 64.2 + -64.2 + -1.4x = 12.82 + -64.2 Combine like terms: 64.2 + -64.2 = 0.0 0.0 + -1.4x = 12.82 + -64.2 -1.4x = 12.82 + -64.2 Combine like terms: 12.82 + -64.2 = -51.38 -1.4x = -51.38 Divide each side by '-1.4'. x = 36.7 Simplifying x = 36.7
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