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