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Simplifying 0.8x + 7 = 0.7x + 1 Reorder the terms: 7 + 0.8x = 0.7x + 1 Reorder the terms: 7 + 0.8x = 1 + 0.7x Solving 7 + 0.8x = 1 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 7 + 0.8x + -0.7x = 1 + 0.7x + -0.7x Combine like terms: 0.8x + -0.7x = 0.1x 7 + 0.1x = 1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 7 + 0.1x = 1 + 0.0 7 + 0.1x = 1 Add '-7' to each side of the equation. 7 + -7 + 0.1x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 0.1x = 1 + -7 0.1x = 1 + -7 Combine like terms: 1 + -7 = -6 0.1x = -6 Divide each side by '0.1'. x = -60 Simplifying x = -60
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