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Simplifying 7(4x + 7) = 6(1 + x) + -1 Reorder the terms: 7(7 + 4x) = 6(1 + x) + -1 (7 * 7 + 4x * 7) = 6(1 + x) + -1 (49 + 28x) = 6(1 + x) + -1 49 + 28x = (1 * 6 + x * 6) + -1 49 + 28x = (6 + 6x) + -1 Reorder the terms: 49 + 28x = 6 + -1 + 6x Combine like terms: 6 + -1 = 5 49 + 28x = 5 + 6x Solving 49 + 28x = 5 + 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. 49 + 28x + -6x = 5 + 6x + -6x Combine like terms: 28x + -6x = 22x 49 + 22x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 49 + 22x = 5 + 0 49 + 22x = 5 Add '-49' to each side of the equation. 49 + -49 + 22x = 5 + -49 Combine like terms: 49 + -49 = 0 0 + 22x = 5 + -49 22x = 5 + -49 Combine like terms: 5 + -49 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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