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