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Simplifying -6.42x + 8 = 0.58 + 10 + -7x Reorder the terms: 8 + -6.42x = 0.58 + 10 + -7x Combine like terms: 0.58 + 10 = 10.58 8 + -6.42x = 10.58 + -7x Solving 8 + -6.42x = 10.58 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + -6.42x + 7x = 10.58 + -7x + 7x Combine like terms: -6.42x + 7x = 0.58x 8 + 0.58x = 10.58 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 0.58x = 10.58 + 0 8 + 0.58x = 10.58 Add '-8' to each side of the equation. 8 + -8 + 0.58x = 10.58 + -8 Combine like terms: 8 + -8 = 0 0 + 0.58x = 10.58 + -8 0.58x = 10.58 + -8 Combine like terms: 10.58 + -8 = 2.58 0.58x = 2.58 Divide each side by '0.58'. x = 4.448275862 Simplifying x = 4.448275862
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