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Simplifying 0.7x + -8 = 0.1x + 1 Reorder the terms: -8 + 0.7x = 0.1x + 1 Reorder the terms: -8 + 0.7x = 1 + 0.1x Solving -8 + 0.7x = 1 + 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. -8 + 0.7x + -0.1x = 1 + 0.1x + -0.1x Combine like terms: 0.7x + -0.1x = 0.6x -8 + 0.6x = 1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -8 + 0.6x = 1 + 0.0 -8 + 0.6x = 1 Add '8' to each side of the equation. -8 + 8 + 0.6x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 0.6x = 1 + 8 0.6x = 1 + 8 Combine like terms: 1 + 8 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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