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Simplifying -5x + 34 = -2(2 + -7x) Reorder the terms: 34 + -5x = -2(2 + -7x) 34 + -5x = (2 * -2 + -7x * -2) 34 + -5x = (-4 + 14x) Solving 34 + -5x = -4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 34 + -5x + -14x = -4 + 14x + -14x Combine like terms: -5x + -14x = -19x 34 + -19x = -4 + 14x + -14x Combine like terms: 14x + -14x = 0 34 + -19x = -4 + 0 34 + -19x = -4 Add '-34' to each side of the equation. 34 + -34 + -19x = -4 + -34 Combine like terms: 34 + -34 = 0 0 + -19x = -4 + -34 -19x = -4 + -34 Combine like terms: -4 + -34 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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