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Simplifying (2.5x + 4) = 0.5(7x + -2) Reorder the terms: (4 + 2.5x) = 0.5(7x + -2) Remove parenthesis around (4 + 2.5x) 4 + 2.5x = 0.5(7x + -2) Reorder the terms: 4 + 2.5x = 0.5(-2 + 7x) 4 + 2.5x = (-2 * 0.5 + 7x * 0.5) 4 + 2.5x = (-1 + 3.5x) Solving 4 + 2.5x = -1 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 4 + 2.5x + -3.5x = -1 + 3.5x + -3.5x Combine like terms: 2.5x + -3.5x = -1x 4 + -1x = -1 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 4 + -1x = -1 + 0.0 4 + -1x = -1 Add '-4' to each side of the equation. 4 + -4 + -1x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -1 + -4 -1x = -1 + -4 Combine like terms: -1 + -4 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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