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Simplifying X + 2(x + 3) = 3(x + 4) Reorder the terms: X + 2(3 + x) = 3(x + 4) X + (3 * 2 + x * 2) = 3(x + 4) X + (6 + 2x) = 3(x + 4) Reorder the terms: 6 + X + 2x = 3(x + 4) Reorder the terms: 6 + X + 2x = 3(4 + x) 6 + X + 2x = (4 * 3 + x * 3) 6 + X + 2x = (12 + 3x) Solving 6 + X + 2x = 12 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + X + -6 + 2x = 12 + -6 + 3x Reorder the terms: 6 + -6 + X + 2x = 12 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + X + 2x = 12 + -6 + 3x X + 2x = 12 + -6 + 3x Combine like terms: 12 + -6 = 6 X + 2x = 6 + 3x Add '-2x' to each side of the equation. X + 2x + -2x = 6 + 3x + -2x Combine like terms: 2x + -2x = 0 X + 0 = 6 + 3x + -2x X = 6 + 3x + -2x Combine like terms: 3x + -2x = 1x X = 6 + 1x Simplifying X = 6 + 1x
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