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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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