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Simplifying -7(-2x + 5) = 4(-34 + -7x) Reorder the terms: -7(5 + -2x) = 4(-34 + -7x) (5 * -7 + -2x * -7) = 4(-34 + -7x) (-35 + 14x) = 4(-34 + -7x) -35 + 14x = (-34 * 4 + -7x * 4) -35 + 14x = (-136 + -28x) Solving -35 + 14x = -136 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -35 + 14x + 28x = -136 + -28x + 28x Combine like terms: 14x + 28x = 42x -35 + 42x = -136 + -28x + 28x Combine like terms: -28x + 28x = 0 -35 + 42x = -136 + 0 -35 + 42x = -136 Add '35' to each side of the equation. -35 + 35 + 42x = -136 + 35 Combine like terms: -35 + 35 = 0 0 + 42x = -136 + 35 42x = -136 + 35 Combine like terms: -136 + 35 = -101 42x = -101 Divide each side by '42'. x = -2.404761905 Simplifying x = -2.404761905
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