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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 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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