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Simplifying 7x + (3x + 9) = (3x + 3) + (x + -6) Reorder the terms: 7x + (9 + 3x) = (3x + 3) + (x + -6) Remove parenthesis around (9 + 3x) 7x + 9 + 3x = (3x + 3) + (x + -6) Reorder the terms: 9 + 7x + 3x = (3x + 3) + (x + -6) Combine like terms: 7x + 3x = 10x 9 + 10x = (3x + 3) + (x + -6) Reorder the terms: 9 + 10x = (3 + 3x) + (x + -6) Remove parenthesis around (3 + 3x) 9 + 10x = 3 + 3x + (x + -6) Reorder the terms: 9 + 10x = 3 + 3x + (-6 + x) Remove parenthesis around (-6 + x) 9 + 10x = 3 + 3x + -6 + x Reorder the terms: 9 + 10x = 3 + -6 + 3x + x Combine like terms: 3 + -6 = -3 9 + 10x = -3 + 3x + x Combine like terms: 3x + x = 4x 9 + 10x = -3 + 4x Solving 9 + 10x = -3 + 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. 9 + 10x + -4x = -3 + 4x + -4x Combine like terms: 10x + -4x = 6x 9 + 6x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 6x = -3 + 0 9 + 6x = -3 Add '-9' to each side of the equation. 9 + -9 + 6x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = -3 + -9 6x = -3 + -9 Combine like terms: -3 + -9 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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