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Simplifying 3(4 + -1x) + 2 = 4(x + 3) + 2 (4 * 3 + -1x * 3) + 2 = 4(x + 3) + 2 (12 + -3x) + 2 = 4(x + 3) + 2 Reorder the terms: 12 + 2 + -3x = 4(x + 3) + 2 Combine like terms: 12 + 2 = 14 14 + -3x = 4(x + 3) + 2 Reorder the terms: 14 + -3x = 4(3 + x) + 2 14 + -3x = (3 * 4 + x * 4) + 2 14 + -3x = (12 + 4x) + 2 Reorder the terms: 14 + -3x = 12 + 2 + 4x Combine like terms: 12 + 2 = 14 14 + -3x = 14 + 4x Add '-14' to each side of the equation. 14 + -14 + -3x = 14 + -14 + 4x Combine like terms: 14 + -14 = 0 0 + -3x = 14 + -14 + 4x -3x = 14 + -14 + 4x Combine like terms: 14 + -14 = 0 -3x = 0 + 4x -3x = 4x Solving -3x = 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. -3x + -4x = 4x + -4x Combine like terms: -3x + -4x = -7x -7x = 4x + -4x Combine like terms: 4x + -4x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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