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Simplifying 5(6x + -1) + 4(3x + 8) = 2(3x + -7) + 11 Reorder the terms: 5(-1 + 6x) + 4(3x + 8) = 2(3x + -7) + 11 (-1 * 5 + 6x * 5) + 4(3x + 8) = 2(3x + -7) + 11 (-5 + 30x) + 4(3x + 8) = 2(3x + -7) + 11 Reorder the terms: -5 + 30x + 4(8 + 3x) = 2(3x + -7) + 11 -5 + 30x + (8 * 4 + 3x * 4) = 2(3x + -7) + 11 -5 + 30x + (32 + 12x) = 2(3x + -7) + 11 Reorder the terms: -5 + 32 + 30x + 12x = 2(3x + -7) + 11 Combine like terms: -5 + 32 = 27 27 + 30x + 12x = 2(3x + -7) + 11 Combine like terms: 30x + 12x = 42x 27 + 42x = 2(3x + -7) + 11 Reorder the terms: 27 + 42x = 2(-7 + 3x) + 11 27 + 42x = (-7 * 2 + 3x * 2) + 11 27 + 42x = (-14 + 6x) + 11 Reorder the terms: 27 + 42x = -14 + 11 + 6x Combine like terms: -14 + 11 = -3 27 + 42x = -3 + 6x Solving 27 + 42x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 42x + -6x = -3 + 6x + -6x Combine like terms: 42x + -6x = 36x 27 + 36x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 36x = -3 + 0 27 + 36x = -3 Add '-27' to each side of the equation. 27 + -27 + 36x = -3 + -27 Combine like terms: 27 + -27 = 0 0 + 36x = -3 + -27 36x = -3 + -27 Combine like terms: -3 + -27 = -30 36x = -30 Divide each side by '36'. x = -0.8333333333 Simplifying x = -0.8333333333
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