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Simplifying 72(x + -2) = 18(x + 1) Reorder the terms: 72(-2 + x) = 18(x + 1) (-2 * 72 + x * 72) = 18(x + 1) (-144 + 72x) = 18(x + 1) Reorder the terms: -144 + 72x = 18(1 + x) -144 + 72x = (1 * 18 + x * 18) -144 + 72x = (18 + 18x) Solving -144 + 72x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -144 + 72x + -18x = 18 + 18x + -18x Combine like terms: 72x + -18x = 54x -144 + 54x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -144 + 54x = 18 + 0 -144 + 54x = 18 Add '144' to each side of the equation. -144 + 144 + 54x = 18 + 144 Combine like terms: -144 + 144 = 0 0 + 54x = 18 + 144 54x = 18 + 144 Combine like terms: 18 + 144 = 162 54x = 162 Divide each side by '54'. x = 3 Simplifying x = 3
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