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Simplifying 11(3x + -2) + 12 = -10(1 + 10x) Reorder the terms: 11(-2 + 3x) + 12 = -10(1 + 10x) (-2 * 11 + 3x * 11) + 12 = -10(1 + 10x) (-22 + 33x) + 12 = -10(1 + 10x) Reorder the terms: -22 + 12 + 33x = -10(1 + 10x) Combine like terms: -22 + 12 = -10 -10 + 33x = -10(1 + 10x) -10 + 33x = (1 * -10 + 10x * -10) -10 + 33x = (-10 + -100x) Add '10' to each side of the equation. -10 + 10 + 33x = -10 + 10 + -100x Combine like terms: -10 + 10 = 0 0 + 33x = -10 + 10 + -100x 33x = -10 + 10 + -100x Combine like terms: -10 + 10 = 0 33x = 0 + -100x 33x = -100x Solving 33x = -100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100x' to each side of the equation. 33x + 100x = -100x + 100x Combine like terms: 33x + 100x = 133x 133x = -100x + 100x Combine like terms: -100x + 100x = 0 133x = 0 Divide each side by '133'. x = 0 Simplifying x = 0
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