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Simplifying -11(10 + 3x) = -3(12 + 1x) + -12 (10 * -11 + 3x * -11) = -3(12 + 1x) + -12 (-110 + -33x) = -3(12 + 1x) + -12 -110 + -33x = (12 * -3 + 1x * -3) + -12 -110 + -33x = (-36 + -3x) + -12 Reorder the terms: -110 + -33x = -36 + -12 + -3x Combine like terms: -36 + -12 = -48 -110 + -33x = -48 + -3x Solving -110 + -33x = -48 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -110 + -33x + 3x = -48 + -3x + 3x Combine like terms: -33x + 3x = -30x -110 + -30x = -48 + -3x + 3x Combine like terms: -3x + 3x = 0 -110 + -30x = -48 + 0 -110 + -30x = -48 Add '110' to each side of the equation. -110 + 110 + -30x = -48 + 110 Combine like terms: -110 + 110 = 0 0 + -30x = -48 + 110 -30x = -48 + 110 Combine like terms: -48 + 110 = 62 -30x = 62 Divide each side by '-30'. x = -2.066666667 Simplifying x = -2.066666667
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