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Simplifying 7(x + 1) + 6(x + 1) = 7x + -7 Reorder the terms: 7(1 + x) + 6(x + 1) = 7x + -7 (1 * 7 + x * 7) + 6(x + 1) = 7x + -7 (7 + 7x) + 6(x + 1) = 7x + -7 Reorder the terms: 7 + 7x + 6(1 + x) = 7x + -7 7 + 7x + (1 * 6 + x * 6) = 7x + -7 7 + 7x + (6 + 6x) = 7x + -7 Reorder the terms: 7 + 6 + 7x + 6x = 7x + -7 Combine like terms: 7 + 6 = 13 13 + 7x + 6x = 7x + -7 Combine like terms: 7x + 6x = 13x 13 + 13x = 7x + -7 Reorder the terms: 13 + 13x = -7 + 7x Solving 13 + 13x = -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. 13 + 13x + -7x = -7 + 7x + -7x Combine like terms: 13x + -7x = 6x 13 + 6x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 6x = -7 + 0 13 + 6x = -7 Add '-13' to each side of the equation. 13 + -13 + 6x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = -7 + -13 6x = -7 + -13 Combine like terms: -7 + -13 = -20 6x = -20 Divide each side by '6'. x = -3.333333333 Simplifying x = -3.333333333
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