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Simplifying 7.42x + 100 = 55.0564 + 10x Reorder the terms: 100 + 7.42x = 55.0564 + 10x Solving 100 + 7.42x = 55.0564 + 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 + 7.42x + -10x = 55.0564 + 10x + -10x Combine like terms: 7.42x + -10x = -2.58x 100 + -2.58x = 55.0564 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -2.58x = 55.0564 + 0 100 + -2.58x = 55.0564 Add '-100' to each side of the equation. 100 + -100 + -2.58x = 55.0564 + -100 Combine like terms: 100 + -100 = 0 0 + -2.58x = 55.0564 + -100 -2.58x = 55.0564 + -100 Combine like terms: 55.0564 + -100 = -44.9436 -2.58x = -44.9436 Divide each side by '-2.58'. x = 17.42 Simplifying x = 17.42
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