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Simplifying 8x + 12 = 27x + -45 Reorder the terms: 12 + 8x = 27x + -45 Reorder the terms: 12 + 8x = -45 + 27x Solving 12 + 8x = -45 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 12 + 8x + -27x = -45 + 27x + -27x Combine like terms: 8x + -27x = -19x 12 + -19x = -45 + 27x + -27x Combine like terms: 27x + -27x = 0 12 + -19x = -45 + 0 12 + -19x = -45 Add '-12' to each side of the equation. 12 + -12 + -19x = -45 + -12 Combine like terms: 12 + -12 = 0 0 + -19x = -45 + -12 -19x = -45 + -12 Combine like terms: -45 + -12 = -57 -19x = -57 Divide each side by '-19'. x = 3 Simplifying x = 3
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