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Simplifying 3 + 7(x + -4) = 7 + 5(x + 4) Reorder the terms: 3 + 7(-4 + x) = 7 + 5(x + 4) 3 + (-4 * 7 + x * 7) = 7 + 5(x + 4) 3 + (-28 + 7x) = 7 + 5(x + 4) Combine like terms: 3 + -28 = -25 -25 + 7x = 7 + 5(x + 4) Reorder the terms: -25 + 7x = 7 + 5(4 + x) -25 + 7x = 7 + (4 * 5 + x * 5) -25 + 7x = 7 + (20 + 5x) Combine like terms: 7 + 20 = 27 -25 + 7x = 27 + 5x Solving -25 + 7x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -25 + 7x + -5x = 27 + 5x + -5x Combine like terms: 7x + -5x = 2x -25 + 2x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 2x = 27 + 0 -25 + 2x = 27 Add '25' to each side of the equation. -25 + 25 + 2x = 27 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 27 + 25 2x = 27 + 25 Combine like terms: 27 + 25 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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