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Simplifying -5x + -4(x + 4) = -4(2x + 5) Reorder the terms: -5x + -4(4 + x) = -4(2x + 5) -5x + (4 * -4 + x * -4) = -4(2x + 5) -5x + (-16 + -4x) = -4(2x + 5) Reorder the terms: -16 + -5x + -4x = -4(2x + 5) Combine like terms: -5x + -4x = -9x -16 + -9x = -4(2x + 5) Reorder the terms: -16 + -9x = -4(5 + 2x) -16 + -9x = (5 * -4 + 2x * -4) -16 + -9x = (-20 + -8x) Solving -16 + -9x = -20 + -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. -16 + -9x + 8x = -20 + -8x + 8x Combine like terms: -9x + 8x = -1x -16 + -1x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + -1x = -20 + 0 -16 + -1x = -20 Add '16' to each side of the equation. -16 + 16 + -1x = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -20 + 16 -1x = -20 + 16 Combine like terms: -20 + 16 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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