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Simplifying 4x + -31 = -1(14 + -3x) Reorder the terms: -31 + 4x = -1(14 + -3x) -31 + 4x = (14 * -1 + -3x * -1) -31 + 4x = (-14 + 3x) Solving -31 + 4x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -31 + 4x + -3x = -14 + 3x + -3x Combine like terms: 4x + -3x = 1x -31 + 1x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 1x = -14 + 0 -31 + 1x = -14 Add '31' to each side of the equation. -31 + 31 + 1x = -14 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = -14 + 31 1x = -14 + 31 Combine like terms: -14 + 31 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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