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Simplifying 8x + 27 = 10x + 9 Reorder the terms: 27 + 8x = 10x + 9 Reorder the terms: 27 + 8x = 9 + 10x Solving 27 + 8x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 8x + -10x = 9 + 10x + -10x Combine like terms: 8x + -10x = -2x 27 + -2x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -2x = 9 + 0 27 + -2x = 9 Add '-27' to each side of the equation. 27 + -27 + -2x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 9 + -27 -2x = 9 + -27 Combine like terms: 9 + -27 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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