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Simplifying 11(3x + -1) = 8(3x + 1) + 26 Reorder the terms: 11(-1 + 3x) = 8(3x + 1) + 26 (-1 * 11 + 3x * 11) = 8(3x + 1) + 26 (-11 + 33x) = 8(3x + 1) + 26 Reorder the terms: -11 + 33x = 8(1 + 3x) + 26 -11 + 33x = (1 * 8 + 3x * 8) + 26 -11 + 33x = (8 + 24x) + 26 Reorder the terms: -11 + 33x = 8 + 26 + 24x Combine like terms: 8 + 26 = 34 -11 + 33x = 34 + 24x Solving -11 + 33x = 34 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -11 + 33x + -24x = 34 + 24x + -24x Combine like terms: 33x + -24x = 9x -11 + 9x = 34 + 24x + -24x Combine like terms: 24x + -24x = 0 -11 + 9x = 34 + 0 -11 + 9x = 34 Add '11' to each side of the equation. -11 + 11 + 9x = 34 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = 34 + 11 9x = 34 + 11 Combine like terms: 34 + 11 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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