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Simplifying 5x + -12 = 4(5 + -5x) + -7x Reorder the terms: -12 + 5x = 4(5 + -5x) + -7x -12 + 5x = (5 * 4 + -5x * 4) + -7x -12 + 5x = (20 + -20x) + -7x Combine like terms: -20x + -7x = -27x -12 + 5x = 20 + -27x Solving -12 + 5x = 20 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -12 + 5x + 27x = 20 + -27x + 27x Combine like terms: 5x + 27x = 32x -12 + 32x = 20 + -27x + 27x Combine like terms: -27x + 27x = 0 -12 + 32x = 20 + 0 -12 + 32x = 20 Add '12' to each side of the equation. -12 + 12 + 32x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 32x = 20 + 12 32x = 20 + 12 Combine like terms: 20 + 12 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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