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Simplifying -6(x + -2) = -7(x + -3) Reorder the terms: -6(-2 + x) = -7(x + -3) (-2 * -6 + x * -6) = -7(x + -3) (12 + -6x) = -7(x + -3) Reorder the terms: 12 + -6x = -7(-3 + x) 12 + -6x = (-3 * -7 + x * -7) 12 + -6x = (21 + -7x) Solving 12 + -6x = 21 + -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 = 21 + -7x + 7x Combine like terms: -6x + 7x = 1x 12 + 1x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 1x = 21 + 0 12 + 1x = 21 Add '-12' to each side of the equation. 12 + -12 + 1x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 21 + -12 1x = 21 + -12 Combine like terms: 21 + -12 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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