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Simplifying 3(5x + -1) = 2(7x + -9) Reorder the terms: 3(-1 + 5x) = 2(7x + -9) (-1 * 3 + 5x * 3) = 2(7x + -9) (-3 + 15x) = 2(7x + -9) Reorder the terms: -3 + 15x = 2(-9 + 7x) -3 + 15x = (-9 * 2 + 7x * 2) -3 + 15x = (-18 + 14x) Solving -3 + 15x = -18 + 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 = -18 + 14x + -14x Combine like terms: 15x + -14x = 1x -3 + 1x = -18 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + 1x = -18 + 0 -3 + 1x = -18 Add '3' to each side of the equation. -3 + 3 + 1x = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -18 + 3 1x = -18 + 3 Combine like terms: -18 + 3 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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