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Simplifying 8x + 27 = 10x + 45 Reorder the terms: 27 + 8x = 10x + 45 Reorder the terms: 27 + 8x = 45 + 10x Solving 27 + 8x = 45 + 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 = 45 + 10x + -10x Combine like terms: 8x + -10x = -2x 27 + -2x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -2x = 45 + 0 27 + -2x = 45 Add '-27' to each side of the equation. 27 + -27 + -2x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 45 + -27 -2x = 45 + -27 Combine like terms: 45 + -27 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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