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Simplifying 2x + 27 = 10x + -61 Reorder the terms: 27 + 2x = 10x + -61 Reorder the terms: 27 + 2x = -61 + 10x Solving 27 + 2x = -61 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 2x + -10x = -61 + 10x + -10x Combine like terms: 2x + -10x = -8x 27 + -8x = -61 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -8x = -61 + 0 27 + -8x = -61 Add '-27' to each side of the equation. 27 + -27 + -8x = -61 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -61 + -27 -8x = -61 + -27 Combine like terms: -61 + -27 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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