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Simplifying 8x + -1(1 + 5x) = 4(3x + -11) + -20 8x + (1 * -1 + 5x * -1) = 4(3x + -11) + -20 8x + (-1 + -5x) = 4(3x + -11) + -20 Reorder the terms: -1 + 8x + -5x = 4(3x + -11) + -20 Combine like terms: 8x + -5x = 3x -1 + 3x = 4(3x + -11) + -20 Reorder the terms: -1 + 3x = 4(-11 + 3x) + -20 -1 + 3x = (-11 * 4 + 3x * 4) + -20 -1 + 3x = (-44 + 12x) + -20 Reorder the terms: -1 + 3x = -44 + -20 + 12x Combine like terms: -44 + -20 = -64 -1 + 3x = -64 + 12x Solving -1 + 3x = -64 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 3x + -12x = -64 + 12x + -12x Combine like terms: 3x + -12x = -9x -1 + -9x = -64 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -9x = -64 + 0 -1 + -9x = -64 Add '1' to each side of the equation. -1 + 1 + -9x = -64 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -64 + 1 -9x = -64 + 1 Combine like terms: -64 + 1 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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