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Simplifying 7(x + 6) + 6(x + 6) = 5x + -5 Reorder the terms: 7(6 + x) + 6(x + 6) = 5x + -5 (6 * 7 + x * 7) + 6(x + 6) = 5x + -5 (42 + 7x) + 6(x + 6) = 5x + -5 Reorder the terms: 42 + 7x + 6(6 + x) = 5x + -5 42 + 7x + (6 * 6 + x * 6) = 5x + -5 42 + 7x + (36 + 6x) = 5x + -5 Reorder the terms: 42 + 36 + 7x + 6x = 5x + -5 Combine like terms: 42 + 36 = 78 78 + 7x + 6x = 5x + -5 Combine like terms: 7x + 6x = 13x 78 + 13x = 5x + -5 Reorder the terms: 78 + 13x = -5 + 5x Solving 78 + 13x = -5 + 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. 78 + 13x + -5x = -5 + 5x + -5x Combine like terms: 13x + -5x = 8x 78 + 8x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 78 + 8x = -5 + 0 78 + 8x = -5 Add '-78' to each side of the equation. 78 + -78 + 8x = -5 + -78 Combine like terms: 78 + -78 = 0 0 + 8x = -5 + -78 8x = -5 + -78 Combine like terms: -5 + -78 = -83 8x = -83 Divide each side by '8'. x = -10.375 Simplifying x = -10.375
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