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Simplifying 4x + 27 = 13x + -45 Reorder the terms: 27 + 4x = 13x + -45 Reorder the terms: 27 + 4x = -45 + 13x Solving 27 + 4x = -45 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 27 + 4x + -13x = -45 + 13x + -13x Combine like terms: 4x + -13x = -9x 27 + -9x = -45 + 13x + -13x Combine like terms: 13x + -13x = 0 27 + -9x = -45 + 0 27 + -9x = -45 Add '-27' to each side of the equation. 27 + -27 + -9x = -45 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = -45 + -27 -9x = -45 + -27 Combine like terms: -45 + -27 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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