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Simplifying 5(x + -4) + -1 = -7x + 3 Reorder the terms: 5(-4 + x) + -1 = -7x + 3 (-4 * 5 + x * 5) + -1 = -7x + 3 (-20 + 5x) + -1 = -7x + 3 Reorder the terms: -20 + -1 + 5x = -7x + 3 Combine like terms: -20 + -1 = -21 -21 + 5x = -7x + 3 Reorder the terms: -21 + 5x = 3 + -7x Solving -21 + 5x = 3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -21 + 5x + 7x = 3 + -7x + 7x Combine like terms: 5x + 7x = 12x -21 + 12x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 12x = 3 + 0 -21 + 12x = 3 Add '21' to each side of the equation. -21 + 21 + 12x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 3 + 21 12x = 3 + 21 Combine like terms: 3 + 21 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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