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Simplifying 4x + 27 = 12x + -45 Reorder the terms: 27 + 4x = 12x + -45 Reorder the terms: 27 + 4x = -45 + 12x Solving 27 + 4x = -45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + 4x + -12x = -45 + 12x + -12x Combine like terms: 4x + -12x = -8x 27 + -8x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -8x = -45 + 0 27 + -8x = -45 Add '-27' to each side of the equation. 27 + -27 + -8x = -45 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -45 + -27 -8x = -45 + -27 Combine like terms: -45 + -27 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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