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Simplifying (9x + -1) * 2 = (x + 5) * 2 Reorder the terms: (-1 + 9x) * 2 = (x + 5) * 2 Reorder the terms for easier multiplication: 2(-1 + 9x) = (x + 5) * 2 (-1 * 2 + 9x * 2) = (x + 5) * 2 (-2 + 18x) = (x + 5) * 2 Reorder the terms: -2 + 18x = (5 + x) * 2 Reorder the terms for easier multiplication: -2 + 18x = 2(5 + x) -2 + 18x = (5 * 2 + x * 2) -2 + 18x = (10 + 2x) Solving -2 + 18x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 18x + -2x = 10 + 2x + -2x Combine like terms: 18x + -2x = 16x -2 + 16x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 16x = 10 + 0 -2 + 16x = 10 Add '2' to each side of the equation. -2 + 2 + 16x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 10 + 2 16x = 10 + 2 Combine like terms: 10 + 2 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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