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Simplifying 2.5(2x) = x + 0.5(10x + 2) Remove parenthesis around (2x) 2.5 * 2x = x + 0.5(10x + 2) Multiply 2.5 * 2 5x = x + 0.5(10x + 2) Reorder the terms: 5x = x + 0.5(2 + 10x) 5x = x + (2 * 0.5 + 10x * 0.5) 5x = x + (1 + 5x) Reorder the terms: 5x = 1 + x + 5x Combine like terms: x + 5x = 6x 5x = 1 + 6x Solving 5x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5x + -6x = 1 + 6x + -6x Combine like terms: 5x + -6x = -1x -1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -1x = 1 + 0 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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