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Simplifying -2(x + -7) = 6(x + -9) Reorder the terms: -2(-7 + x) = 6(x + -9) (-7 * -2 + x * -2) = 6(x + -9) (14 + -2x) = 6(x + -9) Reorder the terms: 14 + -2x = 6(-9 + x) 14 + -2x = (-9 * 6 + x * 6) 14 + -2x = (-54 + 6x) Solving 14 + -2x = -54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + -2x + -6x = -54 + 6x + -6x Combine like terms: -2x + -6x = -8x 14 + -8x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -8x = -54 + 0 14 + -8x = -54 Add '-14' to each side of the equation. 14 + -14 + -8x = -54 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -54 + -14 -8x = -54 + -14 Combine like terms: -54 + -14 = -68 -8x = -68 Divide each side by '-8'. x = 8.5 Simplifying x = 8.5
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