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Simplifying 5(-6x + -6) + -1(5 + 3x) = 0 Reorder the terms: 5(-6 + -6x) + -1(5 + 3x) = 0 (-6 * 5 + -6x * 5) + -1(5 + 3x) = 0 (-30 + -30x) + -1(5 + 3x) = 0 -30 + -30x + (5 * -1 + 3x * -1) = 0 -30 + -30x + (-5 + -3x) = 0 Reorder the terms: -30 + -5 + -30x + -3x = 0 Combine like terms: -30 + -5 = -35 -35 + -30x + -3x = 0 Combine like terms: -30x + -3x = -33x -35 + -33x = 0 Solving -35 + -33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -33x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -33x = 0 + 35 -33x = 0 + 35 Combine like terms: 0 + 35 = 35 -33x = 35 Divide each side by '-33'. x = -1.060606061 Simplifying x = -1.060606061
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