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Simplifying -3(-2x + -11) = -5(3 + -6x) Reorder the terms: -3(-11 + -2x) = -5(3 + -6x) (-11 * -3 + -2x * -3) = -5(3 + -6x) (33 + 6x) = -5(3 + -6x) 33 + 6x = (3 * -5 + -6x * -5) 33 + 6x = (-15 + 30x) Solving 33 + 6x = -15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 33 + 6x + -30x = -15 + 30x + -30x Combine like terms: 6x + -30x = -24x 33 + -24x = -15 + 30x + -30x Combine like terms: 30x + -30x = 0 33 + -24x = -15 + 0 33 + -24x = -15 Add '-33' to each side of the equation. 33 + -33 + -24x = -15 + -33 Combine like terms: 33 + -33 = 0 0 + -24x = -15 + -33 -24x = -15 + -33 Combine like terms: -15 + -33 = -48 -24x = -48 Divide each side by '-24'. x = 2 Simplifying x = 2
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