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Simplifying 7(x + 5) = 4(x + 14) Reorder the terms: 7(5 + x) = 4(x + 14) (5 * 7 + x * 7) = 4(x + 14) (35 + 7x) = 4(x + 14) Reorder the terms: 35 + 7x = 4(14 + x) 35 + 7x = (14 * 4 + x * 4) 35 + 7x = (56 + 4x) Solving 35 + 7x = 56 + 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 = 56 + 4x + -4x Combine like terms: 7x + -4x = 3x 35 + 3x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 3x = 56 + 0 35 + 3x = 56 Add '-35' to each side of the equation. 35 + -35 + 3x = 56 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 56 + -35 3x = 56 + -35 Combine like terms: 56 + -35 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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