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Simplifying -3(4x + 2) = -4 + -5(1 + 3x) Reorder the terms: -3(2 + 4x) = -4 + -5(1 + 3x) (2 * -3 + 4x * -3) = -4 + -5(1 + 3x) (-6 + -12x) = -4 + -5(1 + 3x) -6 + -12x = -4 + (1 * -5 + 3x * -5) -6 + -12x = -4 + (-5 + -15x) Combine like terms: -4 + -5 = -9 -6 + -12x = -9 + -15x Solving -6 + -12x = -9 + -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. -6 + -12x + 15x = -9 + -15x + 15x Combine like terms: -12x + 15x = 3x -6 + 3x = -9 + -15x + 15x Combine like terms: -15x + 15x = 0 -6 + 3x = -9 + 0 -6 + 3x = -9 Add '6' to each side of the equation. -6 + 6 + 3x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -9 + 6 3x = -9 + 6 Combine like terms: -9 + 6 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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