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Simplifying -2(2x + -7) + -3x = 34 + -3x Reorder the terms: -2(-7 + 2x) + -3x = 34 + -3x (-7 * -2 + 2x * -2) + -3x = 34 + -3x (14 + -4x) + -3x = 34 + -3x Combine like terms: -4x + -3x = -7x 14 + -7x = 34 + -3x Solving 14 + -7x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + -7x + 3x = 34 + -3x + 3x Combine like terms: -7x + 3x = -4x 14 + -4x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + -4x = 34 + 0 14 + -4x = 34 Add '-14' to each side of the equation. 14 + -14 + -4x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 34 + -14 -4x = 34 + -14 Combine like terms: 34 + -14 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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