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Simplifying 9(x + -5) + 39 = 8x + -6 Reorder the terms: 9(-5 + x) + 39 = 8x + -6 (-5 * 9 + x * 9) + 39 = 8x + -6 (-45 + 9x) + 39 = 8x + -6 Reorder the terms: -45 + 39 + 9x = 8x + -6 Combine like terms: -45 + 39 = -6 -6 + 9x = 8x + -6 Reorder the terms: -6 + 9x = -6 + 8x Add '6' to each side of the equation. -6 + 6 + 9x = -6 + 6 + 8x Combine like terms: -6 + 6 = 0 0 + 9x = -6 + 6 + 8x 9x = -6 + 6 + 8x Combine like terms: -6 + 6 = 0 9x = 0 + 8x 9x = 8x Solving 9x = 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. 9x + -8x = 8x + -8x Combine like terms: 9x + -8x = 1x 1x = 8x + -8x Combine like terms: 8x + -8x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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