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Simplifying 7(x + -3) = -5(x + 4) + 44 Reorder the terms: 7(-3 + x) = -5(x + 4) + 44 (-3 * 7 + x * 7) = -5(x + 4) + 44 (-21 + 7x) = -5(x + 4) + 44 Reorder the terms: -21 + 7x = -5(4 + x) + 44 -21 + 7x = (4 * -5 + x * -5) + 44 -21 + 7x = (-20 + -5x) + 44 Reorder the terms: -21 + 7x = -20 + 44 + -5x Combine like terms: -20 + 44 = 24 -21 + 7x = 24 + -5x Solving -21 + 7x = 24 + -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. -21 + 7x + 5x = 24 + -5x + 5x Combine like terms: 7x + 5x = 12x -21 + 12x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 12x = 24 + 0 -21 + 12x = 24 Add '21' to each side of the equation. -21 + 21 + 12x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 24 + 21 12x = 24 + 21 Combine like terms: 24 + 21 = 45 12x = 45 Divide each side by '12'. x = 3.75 Simplifying x = 3.75
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