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Simplifying 3x + 27 = 11x + -53 Reorder the terms: 27 + 3x = 11x + -53 Reorder the terms: 27 + 3x = -53 + 11x Solving 27 + 3x = -53 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + 3x + -11x = -53 + 11x + -11x Combine like terms: 3x + -11x = -8x 27 + -8x = -53 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -8x = -53 + 0 27 + -8x = -53 Add '-27' to each side of the equation. 27 + -27 + -8x = -53 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -53 + -27 -8x = -53 + -27 Combine like terms: -53 + -27 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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