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Simplifying 2x + 5(x + -2) = 2(x + 1) Reorder the terms: 2x + 5(-2 + x) = 2(x + 1) 2x + (-2 * 5 + x * 5) = 2(x + 1) 2x + (-10 + 5x) = 2(x + 1) Reorder the terms: -10 + 2x + 5x = 2(x + 1) Combine like terms: 2x + 5x = 7x -10 + 7x = 2(x + 1) Reorder the terms: -10 + 7x = 2(1 + x) -10 + 7x = (1 * 2 + x * 2) -10 + 7x = (2 + 2x) Solving -10 + 7x = 2 + 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. -10 + 7x + -2x = 2 + 2x + -2x Combine like terms: 7x + -2x = 5x -10 + 5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 5x = 2 + 0 -10 + 5x = 2 Add '10' to each side of the equation. -10 + 10 + 5x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 2 + 10 5x = 2 + 10 Combine like terms: 2 + 10 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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