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Simplifying 7(x + -3) + 5(x + 2) = 61 Reorder the terms: 7(-3 + x) + 5(x + 2) = 61 (-3 * 7 + x * 7) + 5(x + 2) = 61 (-21 + 7x) + 5(x + 2) = 61 Reorder the terms: -21 + 7x + 5(2 + x) = 61 -21 + 7x + (2 * 5 + x * 5) = 61 -21 + 7x + (10 + 5x) = 61 Reorder the terms: -21 + 10 + 7x + 5x = 61 Combine like terms: -21 + 10 = -11 -11 + 7x + 5x = 61 Combine like terms: 7x + 5x = 12x -11 + 12x = 61 Solving -11 + 12x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12x = 61 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 61 + 11 12x = 61 + 11 Combine like terms: 61 + 11 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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