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Simplifying 7(x + 6) + 12 = 5(x + -7) Reorder the terms: 7(6 + x) + 12 = 5(x + -7) (6 * 7 + x * 7) + 12 = 5(x + -7) (42 + 7x) + 12 = 5(x + -7) Reorder the terms: 42 + 12 + 7x = 5(x + -7) Combine like terms: 42 + 12 = 54 54 + 7x = 5(x + -7) Reorder the terms: 54 + 7x = 5(-7 + x) 54 + 7x = (-7 * 5 + x * 5) 54 + 7x = (-35 + 5x) Solving 54 + 7x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 54 + 7x + -5x = -35 + 5x + -5x Combine like terms: 7x + -5x = 2x 54 + 2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 2x = -35 + 0 54 + 2x = -35 Add '-54' to each side of the equation. 54 + -54 + 2x = -35 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = -35 + -54 2x = -35 + -54 Combine like terms: -35 + -54 = -89 2x = -89 Divide each side by '2'. x = -44.5 Simplifying x = -44.5
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