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Simplifying -6x + 12 = 5(x + -3) + -5 Reorder the terms: 12 + -6x = 5(x + -3) + -5 Reorder the terms: 12 + -6x = 5(-3 + x) + -5 12 + -6x = (-3 * 5 + x * 5) + -5 12 + -6x = (-15 + 5x) + -5 Reorder the terms: 12 + -6x = -15 + -5 + 5x Combine like terms: -15 + -5 = -20 12 + -6x = -20 + 5x Solving 12 + -6x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -6x + -5x = -20 + 5x + -5x Combine like terms: -6x + -5x = -11x 12 + -11x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -11x = -20 + 0 12 + -11x = -20 Add '-12' to each side of the equation. 12 + -12 + -11x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -20 + -12 -11x = -20 + -12 Combine like terms: -20 + -12 = -32 -11x = -32 Divide each side by '-11'. x = 2.909090909 Simplifying x = 2.909090909
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