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Simplifying (3x + -11) + -4(3x + -1) = 8x + -12(4 + -5x) Reorder the terms: (-11 + 3x) + -4(3x + -1) = 8x + -12(4 + -5x) Remove parenthesis around (-11 + 3x) -11 + 3x + -4(3x + -1) = 8x + -12(4 + -5x) Reorder the terms: -11 + 3x + -4(-1 + 3x) = 8x + -12(4 + -5x) -11 + 3x + (-1 * -4 + 3x * -4) = 8x + -12(4 + -5x) -11 + 3x + (4 + -12x) = 8x + -12(4 + -5x) Reorder the terms: -11 + 4 + 3x + -12x = 8x + -12(4 + -5x) Combine like terms: -11 + 4 = -7 -7 + 3x + -12x = 8x + -12(4 + -5x) Combine like terms: 3x + -12x = -9x -7 + -9x = 8x + -12(4 + -5x) -7 + -9x = 8x + (4 * -12 + -5x * -12) -7 + -9x = 8x + (-48 + 60x) Reorder the terms: -7 + -9x = -48 + 8x + 60x Combine like terms: 8x + 60x = 68x -7 + -9x = -48 + 68x Solving -7 + -9x = -48 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. -7 + -9x + -68x = -48 + 68x + -68x Combine like terms: -9x + -68x = -77x -7 + -77x = -48 + 68x + -68x Combine like terms: 68x + -68x = 0 -7 + -77x = -48 + 0 -7 + -77x = -48 Add '7' to each side of the equation. -7 + 7 + -77x = -48 + 7 Combine like terms: -7 + 7 = 0 0 + -77x = -48 + 7 -77x = -48 + 7 Combine like terms: -48 + 7 = -41 -77x = -41 Divide each side by '-77'. x = 0.5324675325 Simplifying x = 0.5324675325
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