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Simplifying -4(x + 4) = -5x + -1(3 + 12x) Reorder the terms: -4(4 + x) = -5x + -1(3 + 12x) (4 * -4 + x * -4) = -5x + -1(3 + 12x) (-16 + -4x) = -5x + -1(3 + 12x) -16 + -4x = -5x + (3 * -1 + 12x * -1) -16 + -4x = -5x + (-3 + -12x) Reorder the terms: -16 + -4x = -3 + -5x + -12x Combine like terms: -5x + -12x = -17x -16 + -4x = -3 + -17x Solving -16 + -4x = -3 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -16 + -4x + 17x = -3 + -17x + 17x Combine like terms: -4x + 17x = 13x -16 + 13x = -3 + -17x + 17x Combine like terms: -17x + 17x = 0 -16 + 13x = -3 + 0 -16 + 13x = -3 Add '16' to each side of the equation. -16 + 16 + 13x = -3 + 16 Combine like terms: -16 + 16 = 0 0 + 13x = -3 + 16 13x = -3 + 16 Combine like terms: -3 + 16 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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