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Simplifying 7x + -3(6x + 7) = 45 Reorder the terms: 7x + -3(7 + 6x) = 45 7x + (7 * -3 + 6x * -3) = 45 7x + (-21 + -18x) = 45 Reorder the terms: -21 + 7x + -18x = 45 Combine like terms: 7x + -18x = -11x -21 + -11x = 45 Solving -21 + -11x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -11x = 45 + 21 Combine like terms: -21 + 21 = 0 0 + -11x = 45 + 21 -11x = 45 + 21 Combine like terms: 45 + 21 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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