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Simplifying 5x + 0.65 = 10x + 0.45 Reorder the terms: 0.65 + 5x = 10x + 0.45 Reorder the terms: 0.65 + 5x = 0.45 + 10x Solving 0.65 + 5x = 0.45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 0.65 + 5x + -10x = 0.45 + 10x + -10x Combine like terms: 5x + -10x = -5x 0.65 + -5x = 0.45 + 10x + -10x Combine like terms: 10x + -10x = 0 0.65 + -5x = 0.45 + 0 0.65 + -5x = 0.45 Add '-0.65' to each side of the equation. 0.65 + -0.65 + -5x = 0.45 + -0.65 Combine like terms: 0.65 + -0.65 = 0.00 0.00 + -5x = 0.45 + -0.65 -5x = 0.45 + -0.65 Combine like terms: 0.45 + -0.65 = -0.2 -5x = -0.2 Divide each side by '-5'. x = 0.04 Simplifying x = 0.04
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