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Simplifying (6x + 3) + (x + -6) + -1(5x + 3) = 0 Reorder the terms: (3 + 6x) + (x + -6) + -1(5x + 3) = 0 Remove parenthesis around (3 + 6x) 3 + 6x + (x + -6) + -1(5x + 3) = 0 Reorder the terms: 3 + 6x + (-6 + x) + -1(5x + 3) = 0 Remove parenthesis around (-6 + x) 3 + 6x + -6 + x + -1(5x + 3) = 0 Reorder the terms: 3 + 6x + -6 + x + -1(3 + 5x) = 0 3 + 6x + -6 + x + (3 * -1 + 5x * -1) = 0 3 + 6x + -6 + x + (-3 + -5x) = 0 Reorder the terms: 3 + -6 + -3 + 6x + x + -5x = 0 Combine like terms: 3 + -6 = -3 -3 + -3 + 6x + x + -5x = 0 Combine like terms: -3 + -3 = -6 -6 + 6x + x + -5x = 0 Combine like terms: 6x + x = 7x -6 + 7x + -5x = 0 Combine like terms: 7x + -5x = 2x -6 + 2x = 0 Solving -6 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 0 + 6 2x = 0 + 6 Combine like terms: 0 + 6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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