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Simplifying 3(X + 1) + 7 = 4x + 2 + -3(2 + -1X) Reorder the terms: 3(1 + X) + 7 = 4x + 2 + -3(2 + -1X) (1 * 3 + X * 3) + 7 = 4x + 2 + -3(2 + -1X) (3 + 3X) + 7 = 4x + 2 + -3(2 + -1X) Reorder the terms: 3 + 7 + 3X = 4x + 2 + -3(2 + -1X) Combine like terms: 3 + 7 = 10 10 + 3X = 4x + 2 + -3(2 + -1X) 10 + 3X = 4x + 2 + (2 * -3 + -1X * -3) 10 + 3X = 4x + 2 + (-6 + 3X) Reorder the terms: 10 + 3X = 2 + -6 + 3X + 4x Combine like terms: 2 + -6 = -4 10 + 3X = -4 + 3X + 4x Add '-3X' to each side of the equation. 10 + 3X + -3X = -4 + 3X + -3X + 4x Combine like terms: 3X + -3X = 0 10 + 0 = -4 + 3X + -3X + 4x 10 = -4 + 3X + -3X + 4x Combine like terms: 3X + -3X = 0 10 = -4 + 0 + 4x 10 = -4 + 4x Solving 10 = -4 + 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. 10 + -4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -4x = -4 + 0 10 + -4x = -4 Add '-10' to each side of the equation. 10 + -10 + -4x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -4 + -10 -4x = -4 + -10 Combine like terms: -4 + -10 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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