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Simplifying 6x + -3(x + 9) = 5x + -17 Reorder the terms: 6x + -3(9 + x) = 5x + -17 6x + (9 * -3 + x * -3) = 5x + -17 6x + (-27 + -3x) = 5x + -17 Reorder the terms: -27 + 6x + -3x = 5x + -17 Combine like terms: 6x + -3x = 3x -27 + 3x = 5x + -17 Reorder the terms: -27 + 3x = -17 + 5x Solving -27 + 3x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 3x + -5x = -17 + 5x + -5x Combine like terms: 3x + -5x = -2x -27 + -2x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -2x = -17 + 0 -27 + -2x = -17 Add '27' to each side of the equation. -27 + 27 + -2x = -17 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -17 + 27 -2x = -17 + 27 Combine like terms: -17 + 27 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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