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Simplifying 0.5(4x) = x + 1 Remove parenthesis around (4x) 0.5 * 4x = x + 1 Multiply 0.5 * 4 2x = x + 1 Reorder the terms: 2x = 1 + x Solving 2x = 1 + 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. 2x + -1x = 1 + x + -1x Combine like terms: 2x + -1x = 1x 1x = 1 + x + -1x Combine like terms: x + -1x = 0 1x = 1 + 0 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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