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Simplifying 5(7x + -4) + x = 38 + 7x Reorder the terms: 5(-4 + 7x) + x = 38 + 7x (-4 * 5 + 7x * 5) + x = 38 + 7x (-20 + 35x) + x = 38 + 7x Combine like terms: 35x + x = 36x -20 + 36x = 38 + 7x Solving -20 + 36x = 38 + 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. -20 + 36x + -7x = 38 + 7x + -7x Combine like terms: 36x + -7x = 29x -20 + 29x = 38 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 29x = 38 + 0 -20 + 29x = 38 Add '20' to each side of the equation. -20 + 20 + 29x = 38 + 20 Combine like terms: -20 + 20 = 0 0 + 29x = 38 + 20 29x = 38 + 20 Combine like terms: 38 + 20 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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