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