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Simplifying 7(x + 5) = 4x + 38 Reorder the terms: 7(5 + x) = 4x + 38 (5 * 7 + x * 7) = 4x + 38 (35 + 7x) = 4x + 38 Reorder the terms: 35 + 7x = 38 + 4x Solving 35 + 7x = 38 + 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. 35 + 7x + -4x = 38 + 4x + -4x Combine like terms: 7x + -4x = 3x 35 + 3x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 3x = 38 + 0 35 + 3x = 38 Add '-35' to each side of the equation. 35 + -35 + 3x = 38 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 38 + -35 3x = 38 + -35 Combine like terms: 38 + -35 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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