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Simplifying 5x + 27 = 13x + -53 Reorder the terms: 27 + 5x = 13x + -53 Reorder the terms: 27 + 5x = -53 + 13x Solving 27 + 5x = -53 + 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 + 5x + -13x = -53 + 13x + -13x Combine like terms: 5x + -13x = -8x 27 + -8x = -53 + 13x + -13x Combine like terms: 13x + -13x = 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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