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Simplifying 49(2 + -5x) = 6 + -3(1 + -3x) (2 * 49 + -5x * 49) = 6 + -3(1 + -3x) (98 + -245x) = 6 + -3(1 + -3x) 98 + -245x = 6 + (1 * -3 + -3x * -3) 98 + -245x = 6 + (-3 + 9x) Combine like terms: 6 + -3 = 3 98 + -245x = 3 + 9x Solving 98 + -245x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 98 + -245x + -9x = 3 + 9x + -9x Combine like terms: -245x + -9x = -254x 98 + -254x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 98 + -254x = 3 + 0 98 + -254x = 3 Add '-98' to each side of the equation. 98 + -98 + -254x = 3 + -98 Combine like terms: 98 + -98 = 0 0 + -254x = 3 + -98 -254x = 3 + -98 Combine like terms: 3 + -98 = -95 -254x = -95 Divide each side by '-254'. x = 0.374015748 Simplifying x = 0.374015748
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