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Simplifying -9 + 6(x + -7) = -8 + 7(5 + 12x) Reorder the terms: -9 + 6(-7 + x) = -8 + 7(5 + 12x) -9 + (-7 * 6 + x * 6) = -8 + 7(5 + 12x) -9 + (-42 + 6x) = -8 + 7(5 + 12x) Combine like terms: -9 + -42 = -51 -51 + 6x = -8 + 7(5 + 12x) -51 + 6x = -8 + (5 * 7 + 12x * 7) -51 + 6x = -8 + (35 + 84x) Combine like terms: -8 + 35 = 27 -51 + 6x = 27 + 84x Solving -51 + 6x = 27 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. -51 + 6x + -84x = 27 + 84x + -84x Combine like terms: 6x + -84x = -78x -51 + -78x = 27 + 84x + -84x Combine like terms: 84x + -84x = 0 -51 + -78x = 27 + 0 -51 + -78x = 27 Add '51' to each side of the equation. -51 + 51 + -78x = 27 + 51 Combine like terms: -51 + 51 = 0 0 + -78x = 27 + 51 -78x = 27 + 51 Combine like terms: 27 + 51 = 78 -78x = 78 Divide each side by '-78'. x = -1 Simplifying x = -1
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