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Simplifying 3(12x + -4) + -5 + 12(8x + 71) = 30 Reorder the terms: 3(-4 + 12x) + -5 + 12(8x + 71) = 30 (-4 * 3 + 12x * 3) + -5 + 12(8x + 71) = 30 (-12 + 36x) + -5 + 12(8x + 71) = 30 Reorder the terms: -12 + 36x + -5 + 12(71 + 8x) = 30 -12 + 36x + -5 + (71 * 12 + 8x * 12) = 30 -12 + 36x + -5 + (852 + 96x) = 30 Reorder the terms: -12 + -5 + 852 + 36x + 96x = 30 Combine like terms: -12 + -5 = -17 -17 + 852 + 36x + 96x = 30 Combine like terms: -17 + 852 = 835 835 + 36x + 96x = 30 Combine like terms: 36x + 96x = 132x 835 + 132x = 30 Solving 835 + 132x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-835' to each side of the equation. 835 + -835 + 132x = 30 + -835 Combine like terms: 835 + -835 = 0 0 + 132x = 30 + -835 132x = 30 + -835 Combine like terms: 30 + -835 = -805 132x = -805 Divide each side by '132'. x = -6.098484848 Simplifying x = -6.098484848
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