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Simplifying 5(14x + -34) = 4 + -1(x + 5) Reorder the terms: 5(-34 + 14x) = 4 + -1(x + 5) (-34 * 5 + 14x * 5) = 4 + -1(x + 5) (-170 + 70x) = 4 + -1(x + 5) Reorder the terms: -170 + 70x = 4 + -1(5 + x) -170 + 70x = 4 + (5 * -1 + x * -1) -170 + 70x = 4 + (-5 + -1x) Combine like terms: 4 + -5 = -1 -170 + 70x = -1 + -1x Solving -170 + 70x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -170 + 70x + x = -1 + -1x + x Combine like terms: 70x + x = 71x -170 + 71x = -1 + -1x + x Combine like terms: -1x + x = 0 -170 + 71x = -1 + 0 -170 + 71x = -1 Add '170' to each side of the equation. -170 + 170 + 71x = -1 + 170 Combine like terms: -170 + 170 = 0 0 + 71x = -1 + 170 71x = -1 + 170 Combine like terms: -1 + 170 = 169 71x = 169 Divide each side by '71'. x = 2.38028169 Simplifying x = 2.38028169
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