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Simplifying 6(x + 2) = 4(x + 7) Reorder the terms: 6(2 + x) = 4(x + 7) (2 * 6 + x * 6) = 4(x + 7) (12 + 6x) = 4(x + 7) Reorder the terms: 12 + 6x = 4(7 + x) 12 + 6x = (7 * 4 + x * 4) 12 + 6x = (28 + 4x) Solving 12 + 6x = 28 + 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. 12 + 6x + -4x = 28 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 28 + 0 12 + 2x = 28 Add '-12' to each side of the equation. 12 + -12 + 2x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 28 + -12 2x = 28 + -12 Combine like terms: 28 + -12 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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