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Simplifying 4(x + 3) = 2(x + 7) Reorder the terms: 4(3 + x) = 2(x + 7) (3 * 4 + x * 4) = 2(x + 7) (12 + 4x) = 2(x + 7) Reorder the terms: 12 + 4x = 2(7 + x) 12 + 4x = (7 * 2 + x * 2) 12 + 4x = (14 + 2x) Solving 12 + 4x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 14 + 0 12 + 2x = 14 Add '-12' to each side of the equation. 12 + -12 + 2x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 14 + -12 2x = 14 + -12 Combine like terms: 14 + -12 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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