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Simplifying 3(-5x + 1) = -3(-1 + -4x) + 2x Reorder the terms: 3(1 + -5x) = -3(-1 + -4x) + 2x (1 * 3 + -5x * 3) = -3(-1 + -4x) + 2x (3 + -15x) = -3(-1 + -4x) + 2x 3 + -15x = (-1 * -3 + -4x * -3) + 2x 3 + -15x = (3 + 12x) + 2x Combine like terms: 12x + 2x = 14x 3 + -15x = 3 + 14x Add '-3' to each side of the equation. 3 + -3 + -15x = 3 + -3 + 14x Combine like terms: 3 + -3 = 0 0 + -15x = 3 + -3 + 14x -15x = 3 + -3 + 14x Combine like terms: 3 + -3 = 0 -15x = 0 + 14x -15x = 14x Solving -15x = 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. -15x + -14x = 14x + -14x Combine like terms: -15x + -14x = -29x -29x = 14x + -14x Combine like terms: 14x + -14x = 0 -29x = 0 Divide each side by '-29'. x = 0 Simplifying x = 0
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