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Simplifying 3x + 2(x + -2) = 13 + -1(2x + 2) Reorder the terms: 3x + 2(-2 + x) = 13 + -1(2x + 2) 3x + (-2 * 2 + x * 2) = 13 + -1(2x + 2) 3x + (-4 + 2x) = 13 + -1(2x + 2) Reorder the terms: -4 + 3x + 2x = 13 + -1(2x + 2) Combine like terms: 3x + 2x = 5x -4 + 5x = 13 + -1(2x + 2) Reorder the terms: -4 + 5x = 13 + -1(2 + 2x) -4 + 5x = 13 + (2 * -1 + 2x * -1) -4 + 5x = 13 + (-2 + -2x) Combine like terms: 13 + -2 = 11 -4 + 5x = 11 + -2x Solving -4 + 5x = 11 + -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. -4 + 5x + 2x = 11 + -2x + 2x Combine like terms: 5x + 2x = 7x -4 + 7x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 7x = 11 + 0 -4 + 7x = 11 Add '4' to each side of the equation. -4 + 4 + 7x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 11 + 4 7x = 11 + 4 Combine like terms: 11 + 4 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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