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Simplifying 6x + 27 = 14x + -53 Reorder the terms: 27 + 6x = 14x + -53 Reorder the terms: 27 + 6x = -53 + 14x Solving 27 + 6x = -53 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 27 + 6x + -14x = -53 + 14x + -14x Combine like terms: 6x + -14x = -8x 27 + -8x = -53 + 14x + -14x Combine like terms: 14x + -14x = 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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