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Simplifying -2(4x + 2) + 3(x + 1) = 14 Reorder the terms: -2(2 + 4x) + 3(x + 1) = 14 (2 * -2 + 4x * -2) + 3(x + 1) = 14 (-4 + -8x) + 3(x + 1) = 14 Reorder the terms: -4 + -8x + 3(1 + x) = 14 -4 + -8x + (1 * 3 + x * 3) = 14 -4 + -8x + (3 + 3x) = 14 Reorder the terms: -4 + 3 + -8x + 3x = 14 Combine like terms: -4 + 3 = -1 -1 + -8x + 3x = 14 Combine like terms: -8x + 3x = -5x -1 + -5x = 14 Solving -1 + -5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 14 + 1 -5x = 14 + 1 Combine like terms: 14 + 1 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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