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Simplifying 0.5x + 1 = 2(x + 1) Reorder the terms: 1 + 0.5x = 2(x + 1) Reorder the terms: 1 + 0.5x = 2(1 + x) 1 + 0.5x = (1 * 2 + x * 2) 1 + 0.5x = (2 + 2x) Solving 1 + 0.5x = 2 + 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. 1 + 0.5x + -2x = 2 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 1 + -1.5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1.5x = 2 + 0 1 + -1.5x = 2 Add '-1' to each side of the equation. 1 + -1 + -1.5x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5x = 2 + -1 -1.5x = 2 + -1 Combine like terms: 2 + -1 = 1 -1.5x = 1 Divide each side by '-1.5'. x = -0.6666666667 Simplifying x = -0.6666666667
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