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Simplifying 2x + 5(x + -2) = 4.5x + 5 Reorder the terms: 2x + 5(-2 + x) = 4.5x + 5 2x + (-2 * 5 + x * 5) = 4.5x + 5 2x + (-10 + 5x) = 4.5x + 5 Reorder the terms: -10 + 2x + 5x = 4.5x + 5 Combine like terms: 2x + 5x = 7x -10 + 7x = 4.5x + 5 Reorder the terms: -10 + 7x = 5 + 4.5x Solving -10 + 7x = 5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -10 + 7x + -4.5x = 5 + 4.5x + -4.5x Combine like terms: 7x + -4.5x = 2.5x -10 + 2.5x = 5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -10 + 2.5x = 5 + 0.0 -10 + 2.5x = 5 Add '10' to each side of the equation. -10 + 10 + 2.5x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 2.5x = 5 + 10 2.5x = 5 + 10 Combine like terms: 5 + 10 = 15 2.5x = 15 Divide each side by '2.5'. x = 6 Simplifying x = 6
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