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Simplifying 11 + -1(x + 7) = 3x + -1(-5x + -6) Reorder the terms: 11 + -1(7 + x) = 3x + -1(-5x + -6) 11 + (7 * -1 + x * -1) = 3x + -1(-5x + -6) 11 + (-7 + -1x) = 3x + -1(-5x + -6) Combine like terms: 11 + -7 = 4 4 + -1x = 3x + -1(-5x + -6) Reorder the terms: 4 + -1x = 3x + -1(-6 + -5x) 4 + -1x = 3x + (-6 * -1 + -5x * -1) 4 + -1x = 3x + (6 + 5x) Reorder the terms: 4 + -1x = 6 + 3x + 5x Combine like terms: 3x + 5x = 8x 4 + -1x = 6 + 8x Solving 4 + -1x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -1x + -8x = 6 + 8x + -8x Combine like terms: -1x + -8x = -9x 4 + -9x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -9x = 6 + 0 4 + -9x = 6 Add '-4' to each side of the equation. 4 + -4 + -9x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 6 + -4 -9x = 6 + -4 Combine like terms: 6 + -4 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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