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Simplifying -2 + -2(3x + -8) = -1(1 + -9x) + -1(x + -9) Reorder the terms: -2 + -2(-8 + 3x) = -1(1 + -9x) + -1(x + -9) -2 + (-8 * -2 + 3x * -2) = -1(1 + -9x) + -1(x + -9) -2 + (16 + -6x) = -1(1 + -9x) + -1(x + -9) Combine like terms: -2 + 16 = 14 14 + -6x = -1(1 + -9x) + -1(x + -9) 14 + -6x = (1 * -1 + -9x * -1) + -1(x + -9) 14 + -6x = (-1 + 9x) + -1(x + -9) Reorder the terms: 14 + -6x = -1 + 9x + -1(-9 + x) 14 + -6x = -1 + 9x + (-9 * -1 + x * -1) 14 + -6x = -1 + 9x + (9 + -1x) Reorder the terms: 14 + -6x = -1 + 9 + 9x + -1x Combine like terms: -1 + 9 = 8 14 + -6x = 8 + 9x + -1x Combine like terms: 9x + -1x = 8x 14 + -6x = 8 + 8x Solving 14 + -6x = 8 + 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. 14 + -6x + -8x = 8 + 8x + -8x Combine like terms: -6x + -8x = -14x 14 + -14x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -14x = 8 + 0 14 + -14x = 8 Add '-14' to each side of the equation. 14 + -14 + -14x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -14x = 8 + -14 -14x = 8 + -14 Combine like terms: 8 + -14 = -6 -14x = -6 Divide each side by '-14'. x = 0.4285714286 Simplifying x = 0.4285714286
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