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Simplifying 5.2x + 100 = 27.04 + 10x Reorder the terms: 100 + 5.2x = 27.04 + 10x Solving 100 + 5.2x = 27.04 + 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. 100 + 5.2x + -10x = 27.04 + 10x + -10x Combine like terms: 5.2x + -10x = -4.8x 100 + -4.8x = 27.04 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -4.8x = 27.04 + 0 100 + -4.8x = 27.04 Add '-100' to each side of the equation. 100 + -100 + -4.8x = 27.04 + -100 Combine like terms: 100 + -100 = 0 0 + -4.8x = 27.04 + -100 -4.8x = 27.04 + -100 Combine like terms: 27.04 + -100 = -72.96 -4.8x = -72.96 Divide each side by '-4.8'. x = 15.2 Simplifying x = 15.2
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