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Simplifying 26 + -3(2x + 1) = 11x + -3(11 + w) Reorder the terms: 26 + -3(1 + 2x) = 11x + -3(11 + w) 26 + (1 * -3 + 2x * -3) = 11x + -3(11 + w) 26 + (-3 + -6x) = 11x + -3(11 + w) Combine like terms: 26 + -3 = 23 23 + -6x = 11x + -3(11 + w) 23 + -6x = 11x + (11 * -3 + w * -3) 23 + -6x = 11x + (-33 + -3w) Reorder the terms: 23 + -6x = -33 + -3w + 11x Solving 23 + -6x = -33 + -3w + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 23 + -6x + -11x = -33 + -3w + 11x + -11x Combine like terms: -6x + -11x = -17x 23 + -17x = -33 + -3w + 11x + -11x Combine like terms: 11x + -11x = 0 23 + -17x = -33 + -3w + 0 23 + -17x = -33 + -3w Add '-23' to each side of the equation. 23 + -23 + -17x = -33 + -23 + -3w Combine like terms: 23 + -23 = 0 0 + -17x = -33 + -23 + -3w -17x = -33 + -23 + -3w Combine like terms: -33 + -23 = -56 -17x = -56 + -3w Divide each side by '-17'. x = 3.294117647 + 0.1764705882w Simplifying x = 3.294117647 + 0.1764705882w
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