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Simplifying -6(x + -7) + 12 = -12(x + -3) Reorder the terms: -6(-7 + x) + 12 = -12(x + -3) (-7 * -6 + x * -6) + 12 = -12(x + -3) (42 + -6x) + 12 = -12(x + -3) Reorder the terms: 42 + 12 + -6x = -12(x + -3) Combine like terms: 42 + 12 = 54 54 + -6x = -12(x + -3) Reorder the terms: 54 + -6x = -12(-3 + x) 54 + -6x = (-3 * -12 + x * -12) 54 + -6x = (36 + -12x) Solving 54 + -6x = 36 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 54 + -6x + 12x = 36 + -12x + 12x Combine like terms: -6x + 12x = 6x 54 + 6x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 54 + 6x = 36 + 0 54 + 6x = 36 Add '-54' to each side of the equation. 54 + -54 + 6x = 36 + -54 Combine like terms: 54 + -54 = 0 0 + 6x = 36 + -54 6x = 36 + -54 Combine like terms: 36 + -54 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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