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Simplifying 12 + 7x + -9 = 3x + 5 + -1(2 + -1x) Reorder the terms: 12 + -9 + 7x = 3x + 5 + -1(2 + -1x) Combine like terms: 12 + -9 = 3 3 + 7x = 3x + 5 + -1(2 + -1x) 3 + 7x = 3x + 5 + (2 * -1 + -1x * -1) 3 + 7x = 3x + 5 + (-2 + 1x) Reorder the terms: 3 + 7x = 5 + -2 + 3x + 1x Combine like terms: 5 + -2 = 3 3 + 7x = 3 + 3x + 1x Combine like terms: 3x + 1x = 4x 3 + 7x = 3 + 4x Add '-3' to each side of the equation. 3 + -3 + 7x = 3 + -3 + 4x Combine like terms: 3 + -3 = 0 0 + 7x = 3 + -3 + 4x 7x = 3 + -3 + 4x Combine like terms: 3 + -3 = 0 7x = 0 + 4x 7x = 4x Solving 7x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 3x = 4x + -4x Combine like terms: 4x + -4x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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