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Simplifying 0.9x + 1 = 0.2x + 6 Reorder the terms: 1 + 0.9x = 0.2x + 6 Reorder the terms: 1 + 0.9x = 6 + 0.2x Solving 1 + 0.9x = 6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1 + 0.9x + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.9x + -0.2x = 0.7x 1 + 0.7x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1 + 0.7x = 6 + 0.0 1 + 0.7x = 6 Add '-1' to each side of the equation. 1 + -1 + 0.7x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7x = 6 + -1 0.7x = 6 + -1 Combine like terms: 6 + -1 = 5 0.7x = 5 Divide each side by '0.7'. x = 7.142857143 Simplifying x = 7.142857143
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