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Simplifying -5(-3 + -1x) + -12 = 3(1 + 11x) (-3 * -5 + -1x * -5) + -12 = 3(1 + 11x) (15 + 5x) + -12 = 3(1 + 11x) Reorder the terms: 15 + -12 + 5x = 3(1 + 11x) Combine like terms: 15 + -12 = 3 3 + 5x = 3(1 + 11x) 3 + 5x = (1 * 3 + 11x * 3) 3 + 5x = (3 + 33x) Add '-3' to each side of the equation. 3 + -3 + 5x = 3 + -3 + 33x Combine like terms: 3 + -3 = 0 0 + 5x = 3 + -3 + 33x 5x = 3 + -3 + 33x Combine like terms: 3 + -3 = 0 5x = 0 + 33x 5x = 33x Solving 5x = 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. 5x + -33x = 33x + -33x Combine like terms: 5x + -33x = -28x -28x = 33x + -33x Combine like terms: 33x + -33x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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