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Simplifying 7(x + 1) = 4x + 7 Reorder the terms: 7(1 + x) = 4x + 7 (1 * 7 + x * 7) = 4x + 7 (7 + 7x) = 4x + 7 Reorder the terms: 7 + 7x = 7 + 4x Add '-7' to each side of the equation. 7 + -7 + 7x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + 7x = 7 + -7 + 4x 7x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 7x = 0 + 4x 7x = 4x Solving 7x = 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. 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 3x = 4x + -4x Combine like terms: 4x + -4x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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