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Simplifying 7x + -5 + -1(6 + -8x) + 12 = 3x + -9 + 192 7x + -5 + (6 * -1 + -8x * -1) + 12 = 3x + -9 + 192 7x + -5 + (-6 + 8x) + 12 = 3x + -9 + 192 Reorder the terms: -5 + -6 + 12 + 7x + 8x = 3x + -9 + 192 Combine like terms: -5 + -6 = -11 -11 + 12 + 7x + 8x = 3x + -9 + 192 Combine like terms: -11 + 12 = 1 1 + 7x + 8x = 3x + -9 + 192 Combine like terms: 7x + 8x = 15x 1 + 15x = 3x + -9 + 192 Reorder the terms: 1 + 15x = -9 + 192 + 3x Combine like terms: -9 + 192 = 183 1 + 15x = 183 + 3x Solving 1 + 15x = 183 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 15x + -3x = 183 + 3x + -3x Combine like terms: 15x + -3x = 12x 1 + 12x = 183 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 12x = 183 + 0 1 + 12x = 183 Add '-1' to each side of the equation. 1 + -1 + 12x = 183 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 183 + -1 12x = 183 + -1 Combine like terms: 183 + -1 = 182 12x = 182 Divide each side by '12'. x = 15.16666667 Simplifying x = 15.16666667
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