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Simplifying 26 + -3(2x + 1) = 11x + -3(11 + x) Reorder the terms: 26 + -3(1 + 2x) = 11x + -3(11 + x) 26 + (1 * -3 + 2x * -3) = 11x + -3(11 + x) 26 + (-3 + -6x) = 11x + -3(11 + x) Combine like terms: 26 + -3 = 23 23 + -6x = 11x + -3(11 + x) 23 + -6x = 11x + (11 * -3 + x * -3) 23 + -6x = 11x + (-33 + -3x) Reorder the terms: 23 + -6x = -33 + 11x + -3x Combine like terms: 11x + -3x = 8x 23 + -6x = -33 + 8x Solving 23 + -6x = -33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 23 + -6x + -8x = -33 + 8x + -8x Combine like terms: -6x + -8x = -14x 23 + -14x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -14x = -33 + 0 23 + -14x = -33 Add '-23' to each side of the equation. 23 + -23 + -14x = -33 + -23 Combine like terms: 23 + -23 = 0 0 + -14x = -33 + -23 -14x = -33 + -23 Combine like terms: -33 + -23 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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