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Simplifying 7(x + 4) = 4x + 46 Reorder the terms: 7(4 + x) = 4x + 46 (4 * 7 + x * 7) = 4x + 46 (28 + 7x) = 4x + 46 Reorder the terms: 28 + 7x = 46 + 4x Solving 28 + 7x = 46 + 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. 28 + 7x + -4x = 46 + 4x + -4x Combine like terms: 7x + -4x = 3x 28 + 3x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 3x = 46 + 0 28 + 3x = 46 Add '-28' to each side of the equation. 28 + -28 + 3x = 46 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 46 + -28 3x = 46 + -28 Combine like terms: 46 + -28 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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