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Simplifying -12(x + 4) + 11(4x + -3) = 6x + -8 + 5 Reorder the terms: -12(4 + x) + 11(4x + -3) = 6x + -8 + 5 (4 * -12 + x * -12) + 11(4x + -3) = 6x + -8 + 5 (-48 + -12x) + 11(4x + -3) = 6x + -8 + 5 Reorder the terms: -48 + -12x + 11(-3 + 4x) = 6x + -8 + 5 -48 + -12x + (-3 * 11 + 4x * 11) = 6x + -8 + 5 -48 + -12x + (-33 + 44x) = 6x + -8 + 5 Reorder the terms: -48 + -33 + -12x + 44x = 6x + -8 + 5 Combine like terms: -48 + -33 = -81 -81 + -12x + 44x = 6x + -8 + 5 Combine like terms: -12x + 44x = 32x -81 + 32x = 6x + -8 + 5 Reorder the terms: -81 + 32x = -8 + 5 + 6x Combine like terms: -8 + 5 = -3 -81 + 32x = -3 + 6x Solving -81 + 32x = -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. -81 + 32x + -6x = -3 + 6x + -6x Combine like terms: 32x + -6x = 26x -81 + 26x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -81 + 26x = -3 + 0 -81 + 26x = -3 Add '81' to each side of the equation. -81 + 81 + 26x = -3 + 81 Combine like terms: -81 + 81 = 0 0 + 26x = -3 + 81 26x = -3 + 81 Combine like terms: -3 + 81 = 78 26x = 78 Divide each side by '26'. x = 3 Simplifying x = 3
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