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Simplifying x + 3(x + 6) = 2(x + 16) Reorder the terms: x + 3(6 + x) = 2(x + 16) x + (6 * 3 + x * 3) = 2(x + 16) x + (18 + 3x) = 2(x + 16) Reorder the terms: 18 + x + 3x = 2(x + 16) Combine like terms: x + 3x = 4x 18 + 4x = 2(x + 16) Reorder the terms: 18 + 4x = 2(16 + x) 18 + 4x = (16 * 2 + x * 2) 18 + 4x = (32 + 2x) Solving 18 + 4x = 32 + 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. 18 + 4x + -2x = 32 + 2x + -2x Combine like terms: 4x + -2x = 2x 18 + 2x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 2x = 32 + 0 18 + 2x = 32 Add '-18' to each side of the equation. 18 + -18 + 2x = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 32 + -18 2x = 32 + -18 Combine like terms: 32 + -18 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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