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Simplifying -3(3x + -11) + 2(5x + 7) = 0 Reorder the terms: -3(-11 + 3x) + 2(5x + 7) = 0 (-11 * -3 + 3x * -3) + 2(5x + 7) = 0 (33 + -9x) + 2(5x + 7) = 0 Reorder the terms: 33 + -9x + 2(7 + 5x) = 0 33 + -9x + (7 * 2 + 5x * 2) = 0 33 + -9x + (14 + 10x) = 0 Reorder the terms: 33 + 14 + -9x + 10x = 0 Combine like terms: 33 + 14 = 47 47 + -9x + 10x = 0 Combine like terms: -9x + 10x = 1x 47 + 1x = 0 Solving 47 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 1x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 1x = 0 + -47 1x = 0 + -47 Combine like terms: 0 + -47 = -47 1x = -47 Divide each side by '1'. x = -47 Simplifying x = -47
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