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Simplifying 4x + 27 = 12x + -13 Reorder the terms: 27 + 4x = 12x + -13 Reorder the terms: 27 + 4x = -13 + 12x Solving 27 + 4x = -13 + 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 = -13 + 12x + -12x Combine like terms: 4x + -12x = -8x 27 + -8x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -8x = -13 + 0 27 + -8x = -13 Add '-27' to each side of the equation. 27 + -27 + -8x = -13 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -13 + -27 -8x = -13 + -27 Combine like terms: -13 + -27 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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