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Simplifying 0.7143x + -4 = 0.4286x + 1 Reorder the terms: -4 + 0.7143x = 0.4286x + 1 Reorder the terms: -4 + 0.7143x = 1 + 0.4286x Solving -4 + 0.7143x = 1 + 0.4286x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4286x' to each side of the equation. -4 + 0.7143x + -0.4286x = 1 + 0.4286x + -0.4286x Combine like terms: 0.7143x + -0.4286x = 0.2857x -4 + 0.2857x = 1 + 0.4286x + -0.4286x Combine like terms: 0.4286x + -0.4286x = 0.0000 -4 + 0.2857x = 1 + 0.0000 -4 + 0.2857x = 1 Add '4' to each side of the equation. -4 + 4 + 0.2857x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 0.2857x = 1 + 4 0.2857x = 1 + 4 Combine like terms: 1 + 4 = 5 0.2857x = 5 Divide each side by '0.2857'. x = 17.50087504 Simplifying x = 17.50087504
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