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Simplifying 16x + 70(x + -4) = 1(2x + -1) Reorder the terms: 16x + 70(-4 + x) = 1(2x + -1) 16x + (-4 * 70 + x * 70) = 1(2x + -1) 16x + (-280 + 70x) = 1(2x + -1) Reorder the terms: -280 + 16x + 70x = 1(2x + -1) Combine like terms: 16x + 70x = 86x -280 + 86x = 1(2x + -1) Reorder the terms: -280 + 86x = 1(-1 + 2x) -280 + 86x = (-1 * 1 + 2x * 1) -280 + 86x = (-1 + 2x) Solving -280 + 86x = -1 + 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. -280 + 86x + -2x = -1 + 2x + -2x Combine like terms: 86x + -2x = 84x -280 + 84x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -280 + 84x = -1 + 0 -280 + 84x = -1 Add '280' to each side of the equation. -280 + 280 + 84x = -1 + 280 Combine like terms: -280 + 280 = 0 0 + 84x = -1 + 280 84x = -1 + 280 Combine like terms: -1 + 280 = 279 84x = 279 Divide each side by '84'. x = 3.321428571 Simplifying x = 3.321428571
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