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Simplifying 6 + -5x = 2(3x + -6) Reorder the terms: 6 + -5x = 2(-6 + 3x) 6 + -5x = (-6 * 2 + 3x * 2) 6 + -5x = (-12 + 6x) Solving 6 + -5x = -12 + 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. 6 + -5x + -6x = -12 + 6x + -6x Combine like terms: -5x + -6x = -11x 6 + -11x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -11x = -12 + 0 6 + -11x = -12 Add '-6' to each side of the equation. 6 + -6 + -11x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -12 + -6 -11x = -12 + -6 Combine like terms: -12 + -6 = -18 -11x = -18 Divide each side by '-11'. x = 1.636363636 Simplifying x = 1.636363636
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