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Simplifying -16(x + -50) = 4(x + 5) Reorder the terms: -16(-50 + x) = 4(x + 5) (-50 * -16 + x * -16) = 4(x + 5) (800 + -16x) = 4(x + 5) Reorder the terms: 800 + -16x = 4(5 + x) 800 + -16x = (5 * 4 + x * 4) 800 + -16x = (20 + 4x) Solving 800 + -16x = 20 + 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. 800 + -16x + -4x = 20 + 4x + -4x Combine like terms: -16x + -4x = -20x 800 + -20x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 800 + -20x = 20 + 0 800 + -20x = 20 Add '-800' to each side of the equation. 800 + -800 + -20x = 20 + -800 Combine like terms: 800 + -800 = 0 0 + -20x = 20 + -800 -20x = 20 + -800 Combine like terms: 20 + -800 = -780 -20x = -780 Divide each side by '-20'. x = 39 Simplifying x = 39
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