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Simplifying 2(9x + 1) = 5(4x + -1) Reorder the terms: 2(1 + 9x) = 5(4x + -1) (1 * 2 + 9x * 2) = 5(4x + -1) (2 + 18x) = 5(4x + -1) Reorder the terms: 2 + 18x = 5(-1 + 4x) 2 + 18x = (-1 * 5 + 4x * 5) 2 + 18x = (-5 + 20x) Solving 2 + 18x = -5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 2 + 18x + -20x = -5 + 20x + -20x Combine like terms: 18x + -20x = -2x 2 + -2x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 2 + -2x = -5 + 0 2 + -2x = -5 Add '-2' to each side of the equation. 2 + -2 + -2x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -5 + -2 -2x = -5 + -2 Combine like terms: -5 + -2 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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