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Simplifying 3.1x + 64 = 4.6x + 16 Reorder the terms: 64 + 3.1x = 4.6x + 16 Reorder the terms: 64 + 3.1x = 16 + 4.6x Solving 64 + 3.1x = 16 + 4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6x' to each side of the equation. 64 + 3.1x + -4.6x = 16 + 4.6x + -4.6x Combine like terms: 3.1x + -4.6x = -1.5x 64 + -1.5x = 16 + 4.6x + -4.6x Combine like terms: 4.6x + -4.6x = 0.0 64 + -1.5x = 16 + 0.0 64 + -1.5x = 16 Add '-64' to each side of the equation. 64 + -64 + -1.5x = 16 + -64 Combine like terms: 64 + -64 = 0 0 + -1.5x = 16 + -64 -1.5x = 16 + -64 Combine like terms: 16 + -64 = -48 -1.5x = -48 Divide each side by '-1.5'. x = 32 Simplifying x = 32
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