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Simplifying (2x + -2.5) * 2 = 2x + 7 Reorder the terms: (-2.5 + 2x) * 2 = 2x + 7 Reorder the terms for easier multiplication: 2(-2.5 + 2x) = 2x + 7 (-2.5 * 2 + 2x * 2) = 2x + 7 (-5 + 4x) = 2x + 7 Reorder the terms: -5 + 4x = 7 + 2x Solving -5 + 4x = 7 + 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. -5 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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