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Simplifying 9(x + -6) = 8(x + 6) Reorder the terms: 9(-6 + x) = 8(x + 6) (-6 * 9 + x * 9) = 8(x + 6) (-54 + 9x) = 8(x + 6) Reorder the terms: -54 + 9x = 8(6 + x) -54 + 9x = (6 * 8 + x * 8) -54 + 9x = (48 + 8x) Solving -54 + 9x = 48 + 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. -54 + 9x + -8x = 48 + 8x + -8x Combine like terms: 9x + -8x = 1x -54 + 1x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 -54 + 1x = 48 + 0 -54 + 1x = 48 Add '54' to each side of the equation. -54 + 54 + 1x = 48 + 54 Combine like terms: -54 + 54 = 0 0 + 1x = 48 + 54 1x = 48 + 54 Combine like terms: 48 + 54 = 102 1x = 102 Divide each side by '1'. x = 102 Simplifying x = 102
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