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Simplifying 7(2x + -5) = 3(2 + -5x) Reorder the terms: 7(-5 + 2x) = 3(2 + -5x) (-5 * 7 + 2x * 7) = 3(2 + -5x) (-35 + 14x) = 3(2 + -5x) -35 + 14x = (2 * 3 + -5x * 3) -35 + 14x = (6 + -15x) Solving -35 + 14x = 6 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -35 + 14x + 15x = 6 + -15x + 15x Combine like terms: 14x + 15x = 29x -35 + 29x = 6 + -15x + 15x Combine like terms: -15x + 15x = 0 -35 + 29x = 6 + 0 -35 + 29x = 6 Add '35' to each side of the equation. -35 + 35 + 29x = 6 + 35 Combine like terms: -35 + 35 = 0 0 + 29x = 6 + 35 29x = 6 + 35 Combine like terms: 6 + 35 = 41 29x = 41 Divide each side by '29'. x = 1.413793103 Simplifying x = 1.413793103
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