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Simplifying 3.42x + 100 = 11.6964 + 10x Reorder the terms: 100 + 3.42x = 11.6964 + 10x Solving 100 + 3.42x = 11.6964 + 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 + 3.42x + -10x = 11.6964 + 10x + -10x Combine like terms: 3.42x + -10x = -6.58x 100 + -6.58x = 11.6964 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -6.58x = 11.6964 + 0 100 + -6.58x = 11.6964 Add '-100' to each side of the equation. 100 + -100 + -6.58x = 11.6964 + -100 Combine like terms: 100 + -100 = 0 0 + -6.58x = 11.6964 + -100 -6.58x = 11.6964 + -100 Combine like terms: 11.6964 + -100 = -88.3036 -6.58x = -88.3036 Divide each side by '-6.58'. x = 13.42 Simplifying x = 13.42
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