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Simplifying 4(x + 7) = 7(4 + 6x) Reorder the terms: 4(7 + x) = 7(4 + 6x) (7 * 4 + x * 4) = 7(4 + 6x) (28 + 4x) = 7(4 + 6x) 28 + 4x = (4 * 7 + 6x * 7) 28 + 4x = (28 + 42x) Add '-28' to each side of the equation. 28 + -28 + 4x = 28 + -28 + 42x Combine like terms: 28 + -28 = 0 0 + 4x = 28 + -28 + 42x 4x = 28 + -28 + 42x Combine like terms: 28 + -28 = 0 4x = 0 + 42x 4x = 42x Solving 4x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 4x + -42x = 42x + -42x Combine like terms: 4x + -42x = -38x -38x = 42x + -42x Combine like terms: 42x + -42x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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