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Simplifying 7(x + 1) + 7(x + 1) = 6x + -6 Reorder the terms: 7(1 + x) + 7(x + 1) = 6x + -6 (1 * 7 + x * 7) + 7(x + 1) = 6x + -6 (7 + 7x) + 7(x + 1) = 6x + -6 Reorder the terms: 7 + 7x + 7(1 + x) = 6x + -6 7 + 7x + (1 * 7 + x * 7) = 6x + -6 7 + 7x + (7 + 7x) = 6x + -6 Reorder the terms: 7 + 7 + 7x + 7x = 6x + -6 Combine like terms: 7 + 7 = 14 14 + 7x + 7x = 6x + -6 Combine like terms: 7x + 7x = 14x 14 + 14x = 6x + -6 Reorder the terms: 14 + 14x = -6 + 6x Solving 14 + 14x = -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. 14 + 14x + -6x = -6 + 6x + -6x Combine like terms: 14x + -6x = 8x 14 + 8x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 8x = -6 + 0 14 + 8x = -6 Add '-14' to each side of the equation. 14 + -14 + 8x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -6 + -14 8x = -6 + -14 Combine like terms: -6 + -14 = -20 8x = -20 Divide each side by '8'. x = -2.5 Simplifying x = -2.5
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