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Simplifying -4(1 + 3x) = -5x + 5(4 + -2x) (1 * -4 + 3x * -4) = -5x + 5(4 + -2x) (-4 + -12x) = -5x + 5(4 + -2x) -4 + -12x = -5x + (4 * 5 + -2x * 5) -4 + -12x = -5x + (20 + -10x) Reorder the terms: -4 + -12x = 20 + -5x + -10x Combine like terms: -5x + -10x = -15x -4 + -12x = 20 + -15x Solving -4 + -12x = 20 + -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. -4 + -12x + 15x = 20 + -15x + 15x Combine like terms: -12x + 15x = 3x -4 + 3x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 -4 + 3x = 20 + 0 -4 + 3x = 20 Add '4' to each side of the equation. -4 + 4 + 3x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 20 + 4 3x = 20 + 4 Combine like terms: 20 + 4 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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