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Simplifying 0.8(x + 1) = 2x + 1 Reorder the terms: 0.8(1 + x) = 2x + 1 (1 * 0.8 + x * 0.8) = 2x + 1 (0.8 + 0.8x) = 2x + 1 Reorder the terms: 0.8 + 0.8x = 1 + 2x Solving 0.8 + 0.8x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.8 + 0.8x + -2x = 1 + 2x + -2x Combine like terms: 0.8x + -2x = -1.2x 0.8 + -1.2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 0.8 + -1.2x = 1 + 0 0.8 + -1.2x = 1 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -1.2x = 1 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1.2x = 1 + -0.8 -1.2x = 1 + -0.8 Combine like terms: 1 + -0.8 = 0.2 -1.2x = 0.2 Divide each side by '-1.2'. x = -0.1666666667 Simplifying x = -0.1666666667
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