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Simplifying 8x + -12(12x + -3) = 12x + (-1x + 1) Reorder the terms: 8x + -12(-3 + 12x) = 12x + (-1x + 1) 8x + (-3 * -12 + 12x * -12) = 12x + (-1x + 1) 8x + (36 + -144x) = 12x + (-1x + 1) Reorder the terms: 36 + 8x + -144x = 12x + (-1x + 1) Combine like terms: 8x + -144x = -136x 36 + -136x = 12x + (-1x + 1) Reorder the terms: 36 + -136x = 12x + (1 + -1x) Remove parenthesis around (1 + -1x) 36 + -136x = 12x + 1 + -1x Reorder the terms: 36 + -136x = 1 + 12x + -1x Combine like terms: 12x + -1x = 11x 36 + -136x = 1 + 11x Solving 36 + -136x = 1 + 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. 36 + -136x + -11x = 1 + 11x + -11x Combine like terms: -136x + -11x = -147x 36 + -147x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 36 + -147x = 1 + 0 36 + -147x = 1 Add '-36' to each side of the equation. 36 + -36 + -147x = 1 + -36 Combine like terms: 36 + -36 = 0 0 + -147x = 1 + -36 -147x = 1 + -36 Combine like terms: 1 + -36 = -35 -147x = -35 Divide each side by '-147'. x = 0.2380952381 Simplifying x = 0.2380952381
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