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Simplifying -3(-7 + 8x) = 3(1 + -11x) (-7 * -3 + 8x * -3) = 3(1 + -11x) (21 + -24x) = 3(1 + -11x) 21 + -24x = (1 * 3 + -11x * 3) 21 + -24x = (3 + -33x) Solving 21 + -24x = 3 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 21 + -24x + 33x = 3 + -33x + 33x Combine like terms: -24x + 33x = 9x 21 + 9x = 3 + -33x + 33x Combine like terms: -33x + 33x = 0 21 + 9x = 3 + 0 21 + 9x = 3 Add '-21' to each side of the equation. 21 + -21 + 9x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 3 + -21 9x = 3 + -21 Combine like terms: 3 + -21 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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