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Simplifying 3(3x + 2) + -17 = 6x + -2 Reorder the terms: 3(2 + 3x) + -17 = 6x + -2 (2 * 3 + 3x * 3) + -17 = 6x + -2 (6 + 9x) + -17 = 6x + -2 Reorder the terms: 6 + -17 + 9x = 6x + -2 Combine like terms: 6 + -17 = -11 -11 + 9x = 6x + -2 Reorder the terms: -11 + 9x = -2 + 6x Solving -11 + 9x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -11 + 9x + -6x = -2 + 6x + -6x Combine like terms: 9x + -6x = 3x -11 + 3x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + 3x = -2 + 0 -11 + 3x = -2 Add '11' to each side of the equation. -11 + 11 + 3x = -2 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = -2 + 11 3x = -2 + 11 Combine like terms: -2 + 11 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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