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Simplifying 9(2x + -2) = 2(8x + 6) Reorder the terms: 9(-2 + 2x) = 2(8x + 6) (-2 * 9 + 2x * 9) = 2(8x + 6) (-18 + 18x) = 2(8x + 6) Reorder the terms: -18 + 18x = 2(6 + 8x) -18 + 18x = (6 * 2 + 8x * 2) -18 + 18x = (12 + 16x) Solving -18 + 18x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -18 + 18x + -16x = 12 + 16x + -16x Combine like terms: 18x + -16x = 2x -18 + 2x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -18 + 2x = 12 + 0 -18 + 2x = 12 Add '18' to each side of the equation. -18 + 18 + 2x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 12 + 18 2x = 12 + 18 Combine like terms: 12 + 18 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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