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Simplifying x(0.8) + 1 = x Reorder the terms for easier multiplication: 0.8x + 1 = x Reorder the terms: 1 + 0.8x = x Solving 1 + 0.8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 0.8x + -1x = x + -1x Combine like terms: 0.8x + -1x = -0.2x 1 + -0.2x = x + -1x Combine like terms: x + -1x = 0 1 + -0.2x = 0 Add '-1' to each side of the equation. 1 + -1 + -0.2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x = 0 + -1 -0.2x = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2x = -1 Divide each side by '-0.2'. x = 5 Simplifying x = 5
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