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Simplifying 2x + -4(x + 5) = 6x + -2x + 14 Reorder the terms: 2x + -4(5 + x) = 6x + -2x + 14 2x + (5 * -4 + x * -4) = 6x + -2x + 14 2x + (-20 + -4x) = 6x + -2x + 14 Reorder the terms: -20 + 2x + -4x = 6x + -2x + 14 Combine like terms: 2x + -4x = -2x -20 + -2x = 6x + -2x + 14 Reorder the terms: -20 + -2x = 14 + 6x + -2x Combine like terms: 6x + -2x = 4x -20 + -2x = 14 + 4x Solving -20 + -2x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + -2x + -4x = 14 + 4x + -4x Combine like terms: -2x + -4x = -6x -20 + -6x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + -6x = 14 + 0 -20 + -6x = 14 Add '20' to each side of the equation. -20 + 20 + -6x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = 14 + 20 -6x = 14 + 20 Combine like terms: 14 + 20 = 34 -6x = 34 Divide each side by '-6'. x = -5.666666667 Simplifying x = -5.666666667
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