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Simplifying 2x + 9 = -3x + -1(-7x + -9) Reorder the terms: 9 + 2x = -3x + -1(-7x + -9) Reorder the terms: 9 + 2x = -3x + -1(-9 + -7x) 9 + 2x = -3x + (-9 * -1 + -7x * -1) 9 + 2x = -3x + (9 + 7x) Reorder the terms: 9 + 2x = 9 + -3x + 7x Combine like terms: -3x + 7x = 4x 9 + 2x = 9 + 4x Add '-9' to each side of the equation. 9 + -9 + 2x = 9 + -9 + 4x Combine like terms: 9 + -9 = 0 0 + 2x = 9 + -9 + 4x 2x = 9 + -9 + 4x Combine like terms: 9 + -9 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 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. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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