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Simplifying 14x + -21 = 31(4x + -11) Reorder the terms: -21 + 14x = 31(4x + -11) Reorder the terms: -21 + 14x = 31(-11 + 4x) -21 + 14x = (-11 * 31 + 4x * 31) -21 + 14x = (-341 + 124x) Solving -21 + 14x = -341 + 124x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-124x' to each side of the equation. -21 + 14x + -124x = -341 + 124x + -124x Combine like terms: 14x + -124x = -110x -21 + -110x = -341 + 124x + -124x Combine like terms: 124x + -124x = 0 -21 + -110x = -341 + 0 -21 + -110x = -341 Add '21' to each side of the equation. -21 + 21 + -110x = -341 + 21 Combine like terms: -21 + 21 = 0 0 + -110x = -341 + 21 -110x = -341 + 21 Combine like terms: -341 + 21 = -320 -110x = -320 Divide each side by '-110'. x = 2.909090909 Simplifying x = 2.909090909
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