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Simplifying 6(7x + -3) + 2(x + 5) + -7 = 73 Reorder the terms: 6(-3 + 7x) + 2(x + 5) + -7 = 73 (-3 * 6 + 7x * 6) + 2(x + 5) + -7 = 73 (-18 + 42x) + 2(x + 5) + -7 = 73 Reorder the terms: -18 + 42x + 2(5 + x) + -7 = 73 -18 + 42x + (5 * 2 + x * 2) + -7 = 73 -18 + 42x + (10 + 2x) + -7 = 73 Reorder the terms: -18 + 10 + -7 + 42x + 2x = 73 Combine like terms: -18 + 10 = -8 -8 + -7 + 42x + 2x = 73 Combine like terms: -8 + -7 = -15 -15 + 42x + 2x = 73 Combine like terms: 42x + 2x = 44x -15 + 44x = 73 Solving -15 + 44x = 73 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 44x = 73 + 15 Combine like terms: -15 + 15 = 0 0 + 44x = 73 + 15 44x = 73 + 15 Combine like terms: 73 + 15 = 88 44x = 88 Divide each side by '44'. x = 2 Simplifying x = 2
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