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Simplifying 8(2x + -18) = 9(2x + -18) Reorder the terms: 8(-18 + 2x) = 9(2x + -18) (-18 * 8 + 2x * 8) = 9(2x + -18) (-144 + 16x) = 9(2x + -18) Reorder the terms: -144 + 16x = 9(-18 + 2x) -144 + 16x = (-18 * 9 + 2x * 9) -144 + 16x = (-162 + 18x) Solving -144 + 16x = -162 + 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 + 16x + -18x = -162 + 18x + -18x Combine like terms: 16x + -18x = -2x -144 + -2x = -162 + 18x + -18x Combine like terms: 18x + -18x = 0 -144 + -2x = -162 + 0 -144 + -2x = -162 Add '144' to each side of the equation. -144 + 144 + -2x = -162 + 144 Combine like terms: -144 + 144 = 0 0 + -2x = -162 + 144 -2x = -162 + 144 Combine like terms: -162 + 144 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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