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Simplifying 5(x + -4) = -7(x + 3) + 31 Reorder the terms: 5(-4 + x) = -7(x + 3) + 31 (-4 * 5 + x * 5) = -7(x + 3) + 31 (-20 + 5x) = -7(x + 3) + 31 Reorder the terms: -20 + 5x = -7(3 + x) + 31 -20 + 5x = (3 * -7 + x * -7) + 31 -20 + 5x = (-21 + -7x) + 31 Reorder the terms: -20 + 5x = -21 + 31 + -7x Combine like terms: -21 + 31 = 10 -20 + 5x = 10 + -7x Solving -20 + 5x = 10 + -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. -20 + 5x + 7x = 10 + -7x + 7x Combine like terms: 5x + 7x = 12x -20 + 12x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 12x = 10 + 0 -20 + 12x = 10 Add '20' to each side of the equation. -20 + 20 + 12x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 10 + 20 12x = 10 + 20 Combine like terms: 10 + 20 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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