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Simplifying 7(x + 6) + 5(x + 6) = 6x + -6 Reorder the terms: 7(6 + x) + 5(x + 6) = 6x + -6 (6 * 7 + x * 7) + 5(x + 6) = 6x + -6 (42 + 7x) + 5(x + 6) = 6x + -6 Reorder the terms: 42 + 7x + 5(6 + x) = 6x + -6 42 + 7x + (6 * 5 + x * 5) = 6x + -6 42 + 7x + (30 + 5x) = 6x + -6 Reorder the terms: 42 + 30 + 7x + 5x = 6x + -6 Combine like terms: 42 + 30 = 72 72 + 7x + 5x = 6x + -6 Combine like terms: 7x + 5x = 12x 72 + 12x = 6x + -6 Reorder the terms: 72 + 12x = -6 + 6x Solving 72 + 12x = -6 + 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. 72 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 72 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 72 + 6x = -6 + 0 72 + 6x = -6 Add '-72' to each side of the equation. 72 + -72 + 6x = -6 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = -6 + -72 6x = -6 + -72 Combine like terms: -6 + -72 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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