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Simplifying 12[14 + -1(x + -6)] + -1(3x + -11) = 0 Reorder the terms: 12[14 + -1(-6 + x)] + -1(3x + -11) = 0 12[14 + (-6 * -1 + x * -1)] + -1(3x + -11) = 0 12[14 + (6 + -1x)] + -1(3x + -11) = 0 Combine like terms: 14 + 6 = 20 12[20 + -1x] + -1(3x + -11) = 0 [20 * 12 + -1x * 12] + -1(3x + -11) = 0 [240 + -12x] + -1(3x + -11) = 0 Reorder the terms: 240 + -12x + -1(-11 + 3x) = 0 240 + -12x + (-11 * -1 + 3x * -1) = 0 240 + -12x + (11 + -3x) = 0 Reorder the terms: 240 + 11 + -12x + -3x = 0 Combine like terms: 240 + 11 = 251 251 + -12x + -3x = 0 Combine like terms: -12x + -3x = -15x 251 + -15x = 0 Solving 251 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-251' to each side of the equation. 251 + -251 + -15x = 0 + -251 Combine like terms: 251 + -251 = 0 0 + -15x = 0 + -251 -15x = 0 + -251 Combine like terms: 0 + -251 = -251 -15x = -251 Divide each side by '-15'. x = 16.73333333 Simplifying x = 16.73333333
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