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Simplifying (x + -9) + 5x = 3(6x + 5 + -2x) Reorder the terms: (-9 + x) + 5x = 3(6x + 5 + -2x) Remove parenthesis around (-9 + x) -9 + x + 5x = 3(6x + 5 + -2x) Combine like terms: x + 5x = 6x -9 + 6x = 3(6x + 5 + -2x) Reorder the terms: -9 + 6x = 3(5 + 6x + -2x) Combine like terms: 6x + -2x = 4x -9 + 6x = 3(5 + 4x) -9 + 6x = (5 * 3 + 4x * 3) -9 + 6x = (15 + 12x) Solving -9 + 6x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 6x + -12x = 15 + 12x + -12x Combine like terms: 6x + -12x = -6x -9 + -6x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -6x = 15 + 0 -9 + -6x = 15 Add '9' to each side of the equation. -9 + 9 + -6x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = 15 + 9 -6x = 15 + 9 Combine like terms: 15 + 9 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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