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Simplifying 2x + -4(x + 5) = -9 + 4x + 5 Reorder the terms: 2x + -4(5 + x) = -9 + 4x + 5 2x + (5 * -4 + x * -4) = -9 + 4x + 5 2x + (-20 + -4x) = -9 + 4x + 5 Reorder the terms: -20 + 2x + -4x = -9 + 4x + 5 Combine like terms: 2x + -4x = -2x -20 + -2x = -9 + 4x + 5 Reorder the terms: -20 + -2x = -9 + 5 + 4x Combine like terms: -9 + 5 = -4 -20 + -2x = -4 + 4x Solving -20 + -2x = -4 + 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 = -4 + 4x + -4x Combine like terms: -2x + -4x = -6x -20 + -6x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + -6x = -4 + 0 -20 + -6x = -4 Add '20' to each side of the equation. -20 + 20 + -6x = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -4 + 20 -6x = -4 + 20 Combine like terms: -4 + 20 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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