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Simplifying -27 + 6x = 2(5x + 6) Reorder the terms: -27 + 6x = 2(6 + 5x) -27 + 6x = (6 * 2 + 5x * 2) -27 + 6x = (12 + 10x) Solving -27 + 6x = 12 + 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 + 6x + -10x = 12 + 10x + -10x Combine like terms: 6x + -10x = -4x -27 + -4x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + -4x = 12 + 0 -27 + -4x = 12 Add '27' to each side of the equation. -27 + 27 + -4x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + -4x = 12 + 27 -4x = 12 + 27 Combine like terms: 12 + 27 = 39 -4x = 39 Divide each side by '-4'. x = -9.75 Simplifying x = -9.75
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