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Simplifying 3(11x + 4) = 21 + -1(x + 8) Reorder the terms: 3(4 + 11x) = 21 + -1(x + 8) (4 * 3 + 11x * 3) = 21 + -1(x + 8) (12 + 33x) = 21 + -1(x + 8) Reorder the terms: 12 + 33x = 21 + -1(8 + x) 12 + 33x = 21 + (8 * -1 + x * -1) 12 + 33x = 21 + (-8 + -1x) Combine like terms: 21 + -8 = 13 12 + 33x = 13 + -1x Solving 12 + 33x = 13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 33x + x = 13 + -1x + x Combine like terms: 33x + x = 34x 12 + 34x = 13 + -1x + x Combine like terms: -1x + x = 0 12 + 34x = 13 + 0 12 + 34x = 13 Add '-12' to each side of the equation. 12 + -12 + 34x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 34x = 13 + -12 34x = 13 + -12 Combine like terms: 13 + -12 = 1 34x = 1 Divide each side by '34'. x = 0.02941176471 Simplifying x = 0.02941176471
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