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Simplifying -6(x + -9) = -7(x + 8) Reorder the terms: -6(-9 + x) = -7(x + 8) (-9 * -6 + x * -6) = -7(x + 8) (54 + -6x) = -7(x + 8) Reorder the terms: 54 + -6x = -7(8 + x) 54 + -6x = (8 * -7 + x * -7) 54 + -6x = (-56 + -7x) Solving 54 + -6x = -56 + -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. 54 + -6x + 7x = -56 + -7x + 7x Combine like terms: -6x + 7x = 1x 54 + 1x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 54 + 1x = -56 + 0 54 + 1x = -56 Add '-54' to each side of the equation. 54 + -54 + 1x = -56 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = -56 + -54 1x = -56 + -54 Combine like terms: -56 + -54 = -110 1x = -110 Divide each side by '1'. x = -110 Simplifying x = -110
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