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Simplifying 5(x + -4) = -7(x + 3) + 45 Reorder the terms: 5(-4 + x) = -7(x + 3) + 45 (-4 * 5 + x * 5) = -7(x + 3) + 45 (-20 + 5x) = -7(x + 3) + 45 Reorder the terms: -20 + 5x = -7(3 + x) + 45 -20 + 5x = (3 * -7 + x * -7) + 45 -20 + 5x = (-21 + -7x) + 45 Reorder the terms: -20 + 5x = -21 + 45 + -7x Combine like terms: -21 + 45 = 24 -20 + 5x = 24 + -7x Solving -20 + 5x = 24 + -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 = 24 + -7x + 7x Combine like terms: 5x + 7x = 12x -20 + 12x = 24 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 12x = 24 + 0 -20 + 12x = 24 Add '20' to each side of the equation. -20 + 20 + 12x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 24 + 20 12x = 24 + 20 Combine like terms: 24 + 20 = 44 12x = 44 Divide each side by '12'. x = 3.666666667 Simplifying x = 3.666666667
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