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Simplifying 3(7x + 5) + -2(x + -4) = 61 Reorder the terms: 3(5 + 7x) + -2(x + -4) = 61 (5 * 3 + 7x * 3) + -2(x + -4) = 61 (15 + 21x) + -2(x + -4) = 61 Reorder the terms: 15 + 21x + -2(-4 + x) = 61 15 + 21x + (-4 * -2 + x * -2) = 61 15 + 21x + (8 + -2x) = 61 Reorder the terms: 15 + 8 + 21x + -2x = 61 Combine like terms: 15 + 8 = 23 23 + 21x + -2x = 61 Combine like terms: 21x + -2x = 19x 23 + 19x = 61 Solving 23 + 19x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 19x = 61 + -23 Combine like terms: 23 + -23 = 0 0 + 19x = 61 + -23 19x = 61 + -23 Combine like terms: 61 + -23 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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