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Simplifying -2 + -2(3x + -8) = (1 + -9x) + -1(x + -3) Reorder the terms: -2 + -2(-8 + 3x) = (1 + -9x) + -1(x + -3) -2 + (-8 * -2 + 3x * -2) = (1 + -9x) + -1(x + -3) -2 + (16 + -6x) = (1 + -9x) + -1(x + -3) Combine like terms: -2 + 16 = 14 14 + -6x = (1 + -9x) + -1(x + -3) Remove parenthesis around (1 + -9x) 14 + -6x = 1 + -9x + -1(x + -3) Reorder the terms: 14 + -6x = 1 + -9x + -1(-3 + x) 14 + -6x = 1 + -9x + (-3 * -1 + x * -1) 14 + -6x = 1 + -9x + (3 + -1x) Reorder the terms: 14 + -6x = 1 + 3 + -9x + -1x Combine like terms: 1 + 3 = 4 14 + -6x = 4 + -9x + -1x Combine like terms: -9x + -1x = -10x 14 + -6x = 4 + -10x Solving 14 + -6x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + -6x + 10x = 4 + -10x + 10x Combine like terms: -6x + 10x = 4x 14 + 4x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 4x = 4 + 0 14 + 4x = 4 Add '-14' to each side of the equation. 14 + -14 + 4x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 4 + -14 4x = 4 + -14 Combine like terms: 4 + -14 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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