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Simplifying 3(5x + -1) = 2(7x + 2) Reorder the terms: 3(-1 + 5x) = 2(7x + 2) (-1 * 3 + 5x * 3) = 2(7x + 2) (-3 + 15x) = 2(7x + 2) Reorder the terms: -3 + 15x = 2(2 + 7x) -3 + 15x = (2 * 2 + 7x * 2) -3 + 15x = (4 + 14x) Solving -3 + 15x = 4 + 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. -3 + 15x + -14x = 4 + 14x + -14x Combine like terms: 15x + -14x = 1x -3 + 1x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + 1x = 4 + 0 -3 + 1x = 4 Add '3' to each side of the equation. -3 + 3 + 1x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 4 + 3 1x = 4 + 3 Combine like terms: 4 + 3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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