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Simplifying (X + 4) * 3 + -1(x + -3) * 3 = 343 Reorder the terms: (4 + X) * 3 + -1(x + -3) * 3 = 343 Reorder the terms for easier multiplication: 3(4 + X) + -1(x + -3) * 3 = 343 (4 * 3 + X * 3) + -1(x + -3) * 3 = 343 (12 + 3X) + -1(x + -3) * 3 = 343 Reorder the terms: 12 + 3X + -1(-3 + x) * 3 = 343 Reorder the terms for easier multiplication: 12 + 3X + -1 * 3(-3 + x) = 343 Multiply -1 * 3 12 + 3X + -3(-3 + x) = 343 12 + 3X + (-3 * -3 + x * -3) = 343 12 + 3X + (9 + -3x) = 343 Reorder the terms: 12 + 9 + 3X + -3x = 343 Combine like terms: 12 + 9 = 21 21 + 3X + -3x = 343 Solving 21 + 3X + -3x = 343 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 3X + -21 + -3x = 343 + -21 Reorder the terms: 21 + -21 + 3X + -3x = 343 + -21 Combine like terms: 21 + -21 = 0 0 + 3X + -3x = 343 + -21 3X + -3x = 343 + -21 Combine like terms: 343 + -21 = 322 3X + -3x = 322 Add '3x' to each side of the equation. 3X + -3x + 3x = 322 + 3x Combine like terms: -3x + 3x = 0 3X + 0 = 322 + 3x 3X = 322 + 3x Divide each side by '3'. X = 107.3333333 + x Simplifying X = 107.3333333 + x
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