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Simplifying (2x + -3) + 4 = 9 + (7x + -4x) Reorder the terms: (-3 + 2x) + 4 = 9 + (7x + -4x) Remove parenthesis around (-3 + 2x) -3 + 2x + 4 = 9 + (7x + -4x) Reorder the terms: -3 + 4 + 2x = 9 + (7x + -4x) Combine like terms: -3 + 4 = 1 1 + 2x = 9 + (7x + -4x) Combine like terms: 7x + -4x = 3x 1 + 2x = 9 + (3x) 1 + 2x = 9 + (3x) Solving 1 + 2x = 9 + (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. 1 + 2x + (-3x) = 9 + (3x) + (-3x) Combine like terms: 2x + (-3x) = -1x 1 + -1x = 9 + (3x) + (-3x) Combine like terms: (3x) + (-3x) = 0 1 + -1x = 9 + 0 1 + -1x = 9 Add '-1' to each side of the equation. 1 + -1 + -1x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 9 + -1 -1x = 9 + -1 Combine like terms: 9 + -1 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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