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Simplifying 27 = 6x + 3(-4x + 23) Reorder the terms: 27 = 6x + 3(23 + -4x) 27 = 6x + (23 * 3 + -4x * 3) 27 = 6x + (69 + -12x) Reorder the terms: 27 = 69 + 6x + -12x Combine like terms: 6x + -12x = -6x 27 = 69 + -6x Solving 27 = 69 + -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 + 6x = 69 + -6x + 6x Combine like terms: -6x + 6x = 0 27 + 6x = 69 + 0 27 + 6x = 69 Add '-27' to each side of the equation. 27 + -27 + 6x = 69 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 69 + -27 6x = 69 + -27 Combine like terms: 69 + -27 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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