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Simplifying 4x + -12 = -1(5 + 5x) + 2x Reorder the terms: -12 + 4x = -1(5 + 5x) + 2x -12 + 4x = (5 * -1 + 5x * -1) + 2x -12 + 4x = (-5 + -5x) + 2x Combine like terms: -5x + 2x = -3x -12 + 4x = -5 + -3x Solving -12 + 4x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 4x + 3x = -5 + -3x + 3x Combine like terms: 4x + 3x = 7x -12 + 7x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 7x = -5 + 0 -12 + 7x = -5 Add '12' to each side of the equation. -12 + 12 + 7x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -5 + 12 7x = -5 + 12 Combine like terms: -5 + 12 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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