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Simplifying 4x + -1(3x + 2) = 5x + -14 Reorder the terms: 4x + -1(2 + 3x) = 5x + -14 4x + (2 * -1 + 3x * -1) = 5x + -14 4x + (-2 + -3x) = 5x + -14 Reorder the terms: -2 + 4x + -3x = 5x + -14 Combine like terms: 4x + -3x = 1x -2 + 1x = 5x + -14 Reorder the terms: -2 + 1x = -14 + 5x Solving -2 + 1x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 1x + -5x = -14 + 5x + -5x Combine like terms: 1x + -5x = -4x -2 + -4x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -4x = -14 + 0 -2 + -4x = -14 Add '2' to each side of the equation. -2 + 2 + -4x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -14 + 2 -4x = -14 + 2 Combine like terms: -14 + 2 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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