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Simplifying 0.06x + 65 = 0.10x + 48 Reorder the terms: 65 + 0.06x = 0.10x + 48 Reorder the terms: 65 + 0.06x = 48 + 0.10x Solving 65 + 0.06x = 48 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 65 + 0.06x + -0.10x = 48 + 0.10x + -0.10x Combine like terms: 0.06x + -0.10x = -0.04x 65 + -0.04x = 48 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 65 + -0.04x = 48 + 0.00 65 + -0.04x = 48 Add '-65' to each side of the equation. 65 + -65 + -0.04x = 48 + -65 Combine like terms: 65 + -65 = 0 0 + -0.04x = 48 + -65 -0.04x = 48 + -65 Combine like terms: 48 + -65 = -17 -0.04x = -17 Divide each side by '-0.04'. x = 425 Simplifying x = 425
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