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Simplifying 5(x + -3) + 7(x + 4) = 73 Reorder the terms: 5(-3 + x) + 7(x + 4) = 73 (-3 * 5 + x * 5) + 7(x + 4) = 73 (-15 + 5x) + 7(x + 4) = 73 Reorder the terms: -15 + 5x + 7(4 + x) = 73 -15 + 5x + (4 * 7 + x * 7) = 73 -15 + 5x + (28 + 7x) = 73 Reorder the terms: -15 + 28 + 5x + 7x = 73 Combine like terms: -15 + 28 = 13 13 + 5x + 7x = 73 Combine like terms: 5x + 7x = 12x 13 + 12x = 73 Solving 13 + 12x = 73 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12x = 73 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 73 + -13 12x = 73 + -13 Combine like terms: 73 + -13 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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