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Simplifying 2x + 5(x + -1) = 2x + 15 Reorder the terms: 2x + 5(-1 + x) = 2x + 15 2x + (-1 * 5 + x * 5) = 2x + 15 2x + (-5 + 5x) = 2x + 15 Reorder the terms: -5 + 2x + 5x = 2x + 15 Combine like terms: 2x + 5x = 7x -5 + 7x = 2x + 15 Reorder the terms: -5 + 7x = 15 + 2x Solving -5 + 7x = 15 + 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 + 7x + -2x = 15 + 2x + -2x Combine like terms: 7x + -2x = 5x -5 + 5x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 5x = 15 + 0 -5 + 5x = 15 Add '5' to each side of the equation. -5 + 5 + 5x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 15 + 5 5x = 15 + 5 Combine like terms: 15 + 5 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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