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Simplifying 8x + -3(x + -2) = 9x + 23 + -3x Reorder the terms: 8x + -3(-2 + x) = 9x + 23 + -3x 8x + (-2 * -3 + x * -3) = 9x + 23 + -3x 8x + (6 + -3x) = 9x + 23 + -3x Reorder the terms: 6 + 8x + -3x = 9x + 23 + -3x Combine like terms: 8x + -3x = 5x 6 + 5x = 9x + 23 + -3x Reorder the terms: 6 + 5x = 23 + 9x + -3x Combine like terms: 9x + -3x = 6x 6 + 5x = 23 + 6x Solving 6 + 5x = 23 + 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. 6 + 5x + -6x = 23 + 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = 23 + 0 6 + -1x = 23 Add '-6' to each side of the equation. 6 + -6 + -1x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 23 + -6 -1x = 23 + -6 Combine like terms: 23 + -6 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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