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Simplifying 9(x + -3) + 6 = 8x + -4 Reorder the terms: 9(-3 + x) + 6 = 8x + -4 (-3 * 9 + x * 9) + 6 = 8x + -4 (-27 + 9x) + 6 = 8x + -4 Reorder the terms: -27 + 6 + 9x = 8x + -4 Combine like terms: -27 + 6 = -21 -21 + 9x = 8x + -4 Reorder the terms: -21 + 9x = -4 + 8x Solving -21 + 9x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 9x + -8x = -4 + 8x + -8x Combine like terms: 9x + -8x = 1x -21 + 1x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 1x = -4 + 0 -21 + 1x = -4 Add '21' to each side of the equation. -21 + 21 + 1x = -4 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -4 + 21 1x = -4 + 21 Combine like terms: -4 + 21 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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