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Simplifying 5x + 2 = 2(0.5x + 2) Reorder the terms: 2 + 5x = 2(0.5x + 2) Reorder the terms: 2 + 5x = 2(2 + 0.5x) 2 + 5x = (2 * 2 + 0.5x * 2) 2 + 5x = (4 + 1x) Solving 2 + 5x = 4 + 1x 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. 2 + 5x + -1x = 4 + 1x + -1x Combine like terms: 5x + -1x = 4x 2 + 4x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 4x = 4 + 0 2 + 4x = 4 Add '-2' to each side of the equation. 2 + -2 + 4x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 4 + -2 4x = 4 + -2 Combine like terms: 4 + -2 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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