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Simplifying -65 = -5x + 2(-3x + 6) Reorder the terms: -65 = -5x + 2(6 + -3x) -65 = -5x + (6 * 2 + -3x * 2) -65 = -5x + (12 + -6x) Reorder the terms: -65 = 12 + -5x + -6x Combine like terms: -5x + -6x = -11x -65 = 12 + -11x Solving -65 = 12 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -65 + 11x = 12 + -11x + 11x Combine like terms: -11x + 11x = 0 -65 + 11x = 12 + 0 -65 + 11x = 12 Add '65' to each side of the equation. -65 + 65 + 11x = 12 + 65 Combine like terms: -65 + 65 = 0 0 + 11x = 12 + 65 11x = 12 + 65 Combine like terms: 12 + 65 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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