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Simplifying 7(x + 12) = 4x Reorder the terms: 7(12 + x) = 4x (12 * 7 + x * 7) = 4x (84 + 7x) = 4x Solving 84 + 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. 84 + 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 84 + 3x = 4x + -4x Combine like terms: 4x + -4x = 0 84 + 3x = 0 Add '-84' to each side of the equation. 84 + -84 + 3x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 3x = 0 + -84 3x = 0 + -84 Combine like terms: 0 + -84 = -84 3x = -84 Divide each side by '3'. x = -28 Simplifying x = -28
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