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Simplifying 2x + -3(5x + -11) = -84 Reorder the terms: 2x + -3(-11 + 5x) = -84 2x + (-11 * -3 + 5x * -3) = -84 2x + (33 + -15x) = -84 Reorder the terms: 33 + 2x + -15x = -84 Combine like terms: 2x + -15x = -13x 33 + -13x = -84 Solving 33 + -13x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -13x = -84 + -33 Combine like terms: 33 + -33 = 0 0 + -13x = -84 + -33 -13x = -84 + -33 Combine like terms: -84 + -33 = -117 -13x = -117 Divide each side by '-13'. x = 9 Simplifying x = 9
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