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Simplifying 1 = 0.5(4x + 2) Reorder the terms: 1 = 0.5(2 + 4x) 1 = (2 * 0.5 + 4x * 0.5) 1 = (1 + 2x) Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 = 0 + 2x 0 = 2x Solving 0 = 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 + -2x = 2x + -2x Remove the zero: -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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