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Simplifying -2 + -2(3x + -8) = -1(1 + -9x) + -1(-3) Reorder the terms: -2 + -2(-8 + 3x) = -1(1 + -9x) + -1(-3) -2 + (-8 * -2 + 3x * -2) = -1(1 + -9x) + -1(-3) -2 + (16 + -6x) = -1(1 + -9x) + -1(-3) Combine like terms: -2 + 16 = 14 14 + -6x = -1(1 + -9x) + -1(-3) 14 + -6x = (1 * -1 + -9x * -1) + -1(-3) 14 + -6x = (-1 + 9x) + -1(-3) Multiply -1 * -3 14 + -6x = -1 + 9x + 3 Reorder the terms: 14 + -6x = -1 + 3 + 9x Combine like terms: -1 + 3 = 2 14 + -6x = 2 + 9x Solving 14 + -6x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -6x + -9x = 2 + 9x + -9x Combine like terms: -6x + -9x = -15x 14 + -15x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -15x = 2 + 0 14 + -15x = 2 Add '-14' to each side of the equation. 14 + -14 + -15x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = 2 + -14 -15x = 2 + -14 Combine like terms: 2 + -14 = -12 -15x = -12 Divide each side by '-15'. x = 0.8 Simplifying x = 0.8
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