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Simplifying 9(x + -16) = 5(x + 4) Reorder the terms: 9(-16 + x) = 5(x + 4) (-16 * 9 + x * 9) = 5(x + 4) (-144 + 9x) = 5(x + 4) Reorder the terms: -144 + 9x = 5(4 + x) -144 + 9x = (4 * 5 + x * 5) -144 + 9x = (20 + 5x) Solving -144 + 9x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -144 + 9x + -5x = 20 + 5x + -5x Combine like terms: 9x + -5x = 4x -144 + 4x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -144 + 4x = 20 + 0 -144 + 4x = 20 Add '144' to each side of the equation. -144 + 144 + 4x = 20 + 144 Combine like terms: -144 + 144 = 0 0 + 4x = 20 + 144 4x = 20 + 144 Combine like terms: 20 + 144 = 164 4x = 164 Divide each side by '4'. x = 41 Simplifying x = 41
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