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Simplifying 3x + (2x + -5) = 13 + -2(x + 2) Reorder the terms: 3x + (-5 + 2x) = 13 + -2(x + 2) Remove parenthesis around (-5 + 2x) 3x + -5 + 2x = 13 + -2(x + 2) Reorder the terms: -5 + 3x + 2x = 13 + -2(x + 2) Combine like terms: 3x + 2x = 5x -5 + 5x = 13 + -2(x + 2) Reorder the terms: -5 + 5x = 13 + -2(2 + x) -5 + 5x = 13 + (2 * -2 + x * -2) -5 + 5x = 13 + (-4 + -2x) Combine like terms: 13 + -4 = 9 -5 + 5x = 9 + -2x Solving -5 + 5x = 9 + -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 + 5x + 2x = 9 + -2x + 2x Combine like terms: 5x + 2x = 7x -5 + 7x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 7x = 9 + 0 -5 + 7x = 9 Add '5' to each side of the equation. -5 + 5 + 7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 9 + 5 7x = 9 + 5 Combine like terms: 9 + 5 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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