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Simplifying 24(x + -6) = 4(x + 9) Reorder the terms: 24(-6 + x) = 4(x + 9) (-6 * 24 + x * 24) = 4(x + 9) (-144 + 24x) = 4(x + 9) Reorder the terms: -144 + 24x = 4(9 + x) -144 + 24x = (9 * 4 + x * 4) -144 + 24x = (36 + 4x) Solving -144 + 24x = 36 + 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. -144 + 24x + -4x = 36 + 4x + -4x Combine like terms: 24x + -4x = 20x -144 + 20x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -144 + 20x = 36 + 0 -144 + 20x = 36 Add '144' to each side of the equation. -144 + 144 + 20x = 36 + 144 Combine like terms: -144 + 144 = 0 0 + 20x = 36 + 144 20x = 36 + 144 Combine like terms: 36 + 144 = 180 20x = 180 Divide each side by '20'. x = 9 Simplifying x = 9
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