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Simplifying -6(x + -2) = -7(x + 4) Reorder the terms: -6(-2 + x) = -7(x + 4) (-2 * -6 + x * -6) = -7(x + 4) (12 + -6x) = -7(x + 4) Reorder the terms: 12 + -6x = -7(4 + x) 12 + -6x = (4 * -7 + x * -7) 12 + -6x = (-28 + -7x) Solving 12 + -6x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -6x + 7x = -28 + -7x + 7x Combine like terms: -6x + 7x = 1x 12 + 1x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 1x = -28 + 0 12 + 1x = -28 Add '-12' to each side of the equation. 12 + -12 + 1x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -28 + -12 1x = -28 + -12 Combine like terms: -28 + -12 = -40 1x = -40 Divide each side by '1'. x = -40 Simplifying x = -40
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