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Simplifying 34 + 7x = 5(4x + -2) Reorder the terms: 34 + 7x = 5(-2 + 4x) 34 + 7x = (-2 * 5 + 4x * 5) 34 + 7x = (-10 + 20x) Solving 34 + 7x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 34 + 7x + -20x = -10 + 20x + -20x Combine like terms: 7x + -20x = -13x 34 + -13x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 34 + -13x = -10 + 0 34 + -13x = -10 Add '-34' to each side of the equation. 34 + -34 + -13x = -10 + -34 Combine like terms: 34 + -34 = 0 0 + -13x = -10 + -34 -13x = -10 + -34 Combine like terms: -10 + -34 = -44 -13x = -44 Divide each side by '-13'. x = 3.384615385 Simplifying x = 3.384615385
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