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Simplifying -4x + -5(x + 4) = -2(4x + 5) Reorder the terms: -4x + -5(4 + x) = -2(4x + 5) -4x + (4 * -5 + x * -5) = -2(4x + 5) -4x + (-20 + -5x) = -2(4x + 5) Reorder the terms: -20 + -4x + -5x = -2(4x + 5) Combine like terms: -4x + -5x = -9x -20 + -9x = -2(4x + 5) Reorder the terms: -20 + -9x = -2(5 + 4x) -20 + -9x = (5 * -2 + 4x * -2) -20 + -9x = (-10 + -8x) Solving -20 + -9x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -20 + -9x + 8x = -10 + -8x + 8x Combine like terms: -9x + 8x = -1x -20 + -1x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + -1x = -10 + 0 -20 + -1x = -10 Add '20' to each side of the equation. -20 + 20 + -1x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -10 + 20 -1x = -10 + 20 Combine like terms: -10 + 20 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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