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Simplifying 5(x + 4) = 7(x + 2) Reorder the terms: 5(4 + x) = 7(x + 2) (4 * 5 + x * 5) = 7(x + 2) (20 + 5x) = 7(x + 2) Reorder the terms: 20 + 5x = 7(2 + x) 20 + 5x = (2 * 7 + x * 7) 20 + 5x = (14 + 7x) Solving 20 + 5x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 5x + -7x = 14 + 7x + -7x Combine like terms: 5x + -7x = -2x 20 + -2x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -2x = 14 + 0 20 + -2x = 14 Add '-20' to each side of the equation. 20 + -20 + -2x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 14 + -20 -2x = 14 + -20 Combine like terms: 14 + -20 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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