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Simplifying 0.6x + -1 = 9 + -0.1x Reorder the terms: -1 + 0.6x = 9 + -0.1x Solving -1 + 0.6x = 9 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -1 + 0.6x + 0.1x = 9 + -0.1x + 0.1x Combine like terms: 0.6x + 0.1x = 0.7x -1 + 0.7x = 9 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -1 + 0.7x = 9 + 0.0 -1 + 0.7x = 9 Add '1' to each side of the equation. -1 + 1 + 0.7x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 0.7x = 9 + 1 0.7x = 9 + 1 Combine like terms: 9 + 1 = 10 0.7x = 10 Divide each side by '0.7'. x = 14.28571429 Simplifying x = 14.28571429
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