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Simplifying 10x + 27 = 6x + 79 Reorder the terms: 27 + 10x = 6x + 79 Reorder the terms: 27 + 10x = 79 + 6x Solving 27 + 10x = 79 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 10x + -6x = 79 + 6x + -6x Combine like terms: 10x + -6x = 4x 27 + 4x = 79 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 4x = 79 + 0 27 + 4x = 79 Add '-27' to each side of the equation. 27 + -27 + 4x = 79 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 79 + -27 4x = 79 + -27 Combine like terms: 79 + -27 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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