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Simplifying 13 + 2(2x + -2) = 16 + -1(3x + -7) Reorder the terms: 13 + 2(-2 + 2x) = 16 + -1(3x + -7) 13 + (-2 * 2 + 2x * 2) = 16 + -1(3x + -7) 13 + (-4 + 4x) = 16 + -1(3x + -7) Combine like terms: 13 + -4 = 9 9 + 4x = 16 + -1(3x + -7) Reorder the terms: 9 + 4x = 16 + -1(-7 + 3x) 9 + 4x = 16 + (-7 * -1 + 3x * -1) 9 + 4x = 16 + (7 + -3x) Combine like terms: 16 + 7 = 23 9 + 4x = 23 + -3x Solving 9 + 4x = 23 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 4x + 3x = 23 + -3x + 3x Combine like terms: 4x + 3x = 7x 9 + 7x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 7x = 23 + 0 9 + 7x = 23 Add '-9' to each side of the equation. 9 + -9 + 7x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 23 + -9 7x = 23 + -9 Combine like terms: 23 + -9 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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