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Simplifying 4(x + 1) = 2(x + 6) + 2 Reorder the terms: 4(1 + x) = 2(x + 6) + 2 (1 * 4 + x * 4) = 2(x + 6) + 2 (4 + 4x) = 2(x + 6) + 2 Reorder the terms: 4 + 4x = 2(6 + x) + 2 4 + 4x = (6 * 2 + x * 2) + 2 4 + 4x = (12 + 2x) + 2 Reorder the terms: 4 + 4x = 12 + 2 + 2x Combine like terms: 12 + 2 = 14 4 + 4x = 14 + 2x Solving 4 + 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. 4 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 14 + 0 4 + 2x = 14 Add '-4' to each side of the equation. 4 + -4 + 2x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 14 + -4 2x = 14 + -4 Combine like terms: 14 + -4 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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