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Simplifying 3(2 + -1x) + -4(3 + -2x) = 14 (2 * 3 + -1x * 3) + -4(3 + -2x) = 14 (6 + -3x) + -4(3 + -2x) = 14 6 + -3x + (3 * -4 + -2x * -4) = 14 6 + -3x + (-12 + 8x) = 14 Reorder the terms: 6 + -12 + -3x + 8x = 14 Combine like terms: 6 + -12 = -6 -6 + -3x + 8x = 14 Combine like terms: -3x + 8x = 5x -6 + 5x = 14 Solving -6 + 5x = 14 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 + 6 + 5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 14 + 6 5x = 14 + 6 Combine like terms: 14 + 6 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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