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Simplifying 6x + -3(x + -2) = 9x + 17 + -5x Reorder the terms: 6x + -3(-2 + x) = 9x + 17 + -5x 6x + (-2 * -3 + x * -3) = 9x + 17 + -5x 6x + (6 + -3x) = 9x + 17 + -5x Reorder the terms: 6 + 6x + -3x = 9x + 17 + -5x Combine like terms: 6x + -3x = 3x 6 + 3x = 9x + 17 + -5x Reorder the terms: 6 + 3x = 17 + 9x + -5x Combine like terms: 9x + -5x = 4x 6 + 3x = 17 + 4x Solving 6 + 3x = 17 + 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. 6 + 3x + -4x = 17 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = 17 + 0 6 + -1x = 17 Add '-6' to each side of the equation. 6 + -6 + -1x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 17 + -6 -1x = 17 + -6 Combine like terms: 17 + -6 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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