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Simplifying 6(x + 1) = 4(x + 3) Reorder the terms: 6(1 + x) = 4(x + 3) (1 * 6 + x * 6) = 4(x + 3) (6 + 6x) = 4(x + 3) Reorder the terms: 6 + 6x = 4(3 + x) 6 + 6x = (3 * 4 + x * 4) 6 + 6x = (12 + 4x) Solving 6 + 6x = 12 + 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. 6 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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