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Simplifying 10(-3x + -11) = 35(x + 3) Reorder the terms: 10(-11 + -3x) = 35(x + 3) (-11 * 10 + -3x * 10) = 35(x + 3) (-110 + -30x) = 35(x + 3) Reorder the terms: -110 + -30x = 35(3 + x) -110 + -30x = (3 * 35 + x * 35) -110 + -30x = (105 + 35x) Solving -110 + -30x = 105 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -110 + -30x + -35x = 105 + 35x + -35x Combine like terms: -30x + -35x = -65x -110 + -65x = 105 + 35x + -35x Combine like terms: 35x + -35x = 0 -110 + -65x = 105 + 0 -110 + -65x = 105 Add '110' to each side of the equation. -110 + 110 + -65x = 105 + 110 Combine like terms: -110 + 110 = 0 0 + -65x = 105 + 110 -65x = 105 + 110 Combine like terms: 105 + 110 = 215 -65x = 215 Divide each side by '-65'. x = -3.307692308 Simplifying x = -3.307692308
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