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Simplifying 7(x + 6) + 5(x + 6) = 7x + -7 Reorder the terms: 7(6 + x) + 5(x + 6) = 7x + -7 (6 * 7 + x * 7) + 5(x + 6) = 7x + -7 (42 + 7x) + 5(x + 6) = 7x + -7 Reorder the terms: 42 + 7x + 5(6 + x) = 7x + -7 42 + 7x + (6 * 5 + x * 5) = 7x + -7 42 + 7x + (30 + 5x) = 7x + -7 Reorder the terms: 42 + 30 + 7x + 5x = 7x + -7 Combine like terms: 42 + 30 = 72 72 + 7x + 5x = 7x + -7 Combine like terms: 7x + 5x = 12x 72 + 12x = 7x + -7 Reorder the terms: 72 + 12x = -7 + 7x Solving 72 + 12x = -7 + 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. 72 + 12x + -7x = -7 + 7x + -7x Combine like terms: 12x + -7x = 5x 72 + 5x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 72 + 5x = -7 + 0 72 + 5x = -7 Add '-72' to each side of the equation. 72 + -72 + 5x = -7 + -72 Combine like terms: 72 + -72 = 0 0 + 5x = -7 + -72 5x = -7 + -72 Combine like terms: -7 + -72 = -79 5x = -79 Divide each side by '5'. x = -15.8 Simplifying x = -15.8
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