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Simplifying 10x + -3(7x + 1) = 74 Reorder the terms: 10x + -3(1 + 7x) = 74 10x + (1 * -3 + 7x * -3) = 74 10x + (-3 + -21x) = 74 Reorder the terms: -3 + 10x + -21x = 74 Combine like terms: 10x + -21x = -11x -3 + -11x = 74 Solving -3 + -11x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -11x = 74 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 74 + 3 -11x = 74 + 3 Combine like terms: 74 + 3 = 77 -11x = 77 Divide each side by '-11'. x = -7 Simplifying x = -7
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