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Simplifying 7(x + 1) + 6(x + 1) = 6x + -6 Reorder the terms: 7(1 + x) + 6(x + 1) = 6x + -6 (1 * 7 + x * 7) + 6(x + 1) = 6x + -6 (7 + 7x) + 6(x + 1) = 6x + -6 Reorder the terms: 7 + 7x + 6(1 + x) = 6x + -6 7 + 7x + (1 * 6 + x * 6) = 6x + -6 7 + 7x + (6 + 6x) = 6x + -6 Reorder the terms: 7 + 6 + 7x + 6x = 6x + -6 Combine like terms: 7 + 6 = 13 13 + 7x + 6x = 6x + -6 Combine like terms: 7x + 6x = 13x 13 + 13x = 6x + -6 Reorder the terms: 13 + 13x = -6 + 6x Solving 13 + 13x = -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. 13 + 13x + -6x = -6 + 6x + -6x Combine like terms: 13x + -6x = 7x 13 + 7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 7x = -6 + 0 13 + 7x = -6 Add '-13' to each side of the equation. 13 + -13 + 7x = -6 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -6 + -13 7x = -6 + -13 Combine like terms: -6 + -13 = -19 7x = -19 Divide each side by '7'. x = -2.714285714 Simplifying x = -2.714285714
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