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Simplifying 7(x + 2) = 3(x + 1) + -13 Reorder the terms: 7(2 + x) = 3(x + 1) + -13 (2 * 7 + x * 7) = 3(x + 1) + -13 (14 + 7x) = 3(x + 1) + -13 Reorder the terms: 14 + 7x = 3(1 + x) + -13 14 + 7x = (1 * 3 + x * 3) + -13 14 + 7x = (3 + 3x) + -13 Reorder the terms: 14 + 7x = 3 + -13 + 3x Combine like terms: 3 + -13 = -10 14 + 7x = -10 + 3x Solving 14 + 7x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 7x + -3x = -10 + 3x + -3x Combine like terms: 7x + -3x = 4x 14 + 4x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 4x = -10 + 0 14 + 4x = -10 Add '-14' to each side of the equation. 14 + -14 + 4x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -10 + -14 4x = -10 + -14 Combine like terms: -10 + -14 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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