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Simplifying 12x + -1(4 + -3x) = 5x + 36 12x + (4 * -1 + -3x * -1) = 5x + 36 12x + (-4 + 3x) = 5x + 36 Reorder the terms: -4 + 12x + 3x = 5x + 36 Combine like terms: 12x + 3x = 15x -4 + 15x = 5x + 36 Reorder the terms: -4 + 15x = 36 + 5x Solving -4 + 15x = 36 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 15x + -5x = 36 + 5x + -5x Combine like terms: 15x + -5x = 10x -4 + 10x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 10x = 36 + 0 -4 + 10x = 36 Add '4' to each side of the equation. -4 + 4 + 10x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 36 + 4 10x = 36 + 4 Combine like terms: 36 + 4 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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