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Simplifying (7x + -3x + 9) + -1(3x + 5x + -3) = 0 Reorder the terms: (9 + 7x + -3x) + -1(3x + 5x + -3) = 0 Combine like terms: 7x + -3x = 4x (9 + 4x) + -1(3x + 5x + -3) = 0 Remove parenthesis around (9 + 4x) 9 + 4x + -1(3x + 5x + -3) = 0 Reorder the terms: 9 + 4x + -1(-3 + 3x + 5x) = 0 Combine like terms: 3x + 5x = 8x 9 + 4x + -1(-3 + 8x) = 0 9 + 4x + (-3 * -1 + 8x * -1) = 0 9 + 4x + (3 + -8x) = 0 Reorder the terms: 9 + 3 + 4x + -8x = 0 Combine like terms: 9 + 3 = 12 12 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x 12 + -4x = 0 Solving 12 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 0 + -12 -4x = 0 + -12 Combine like terms: 0 + -12 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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