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Simplifying 5x + -12x = -4[5 + -12x] + -4[3x + -5] Combine like terms: 5x + -12x = -7x -7x = -4[5 + -12x] + -4[3x + -5] -7x = [5 * -4 + -12x * -4] + -4[3x + -5] -7x = [-20 + 48x] + -4[3x + -5] Reorder the terms: -7x = -20 + 48x + -4[-5 + 3x] -7x = -20 + 48x + [-5 * -4 + 3x * -4] -7x = -20 + 48x + [20 + -12x] Reorder the terms: -7x = -20 + 20 + 48x + -12x Combine like terms: -20 + 20 = 0 -7x = 0 + 48x + -12x -7x = 48x + -12x Combine like terms: 48x + -12x = 36x -7x = 36x Solving -7x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -7x + -36x = 36x + -36x Combine like terms: -7x + -36x = -43x -43x = 36x + -36x Combine like terms: 36x + -36x = 0 -43x = 0 Divide each side by '-43'. x = 0 Simplifying x = 0
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