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Simplifying -3x + 34 = -7(2x + 3) Reorder the terms: 34 + -3x = -7(2x + 3) Reorder the terms: 34 + -3x = -7(3 + 2x) 34 + -3x = (3 * -7 + 2x * -7) 34 + -3x = (-21 + -14x) Solving 34 + -3x = -21 + -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 + -3x + 14x = -21 + -14x + 14x Combine like terms: -3x + 14x = 11x 34 + 11x = -21 + -14x + 14x Combine like terms: -14x + 14x = 0 34 + 11x = -21 + 0 34 + 11x = -21 Add '-34' to each side of the equation. 34 + -34 + 11x = -21 + -34 Combine like terms: 34 + -34 = 0 0 + 11x = -21 + -34 11x = -21 + -34 Combine like terms: -21 + -34 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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