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Simplifying 7(x + 7) = 4(x + 7) Reorder the terms: 7(7 + x) = 4(x + 7) (7 * 7 + x * 7) = 4(x + 7) (49 + 7x) = 4(x + 7) Reorder the terms: 49 + 7x = 4(7 + x) 49 + 7x = (7 * 4 + x * 4) 49 + 7x = (28 + 4x) Solving 49 + 7x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 49 + 7x + -4x = 28 + 4x + -4x Combine like terms: 7x + -4x = 3x 49 + 3x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 49 + 3x = 28 + 0 49 + 3x = 28 Add '-49' to each side of the equation. 49 + -49 + 3x = 28 + -49 Combine like terms: 49 + -49 = 0 0 + 3x = 28 + -49 3x = 28 + -49 Combine like terms: 28 + -49 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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