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Simplifying -2 + -1(2x + -4) = 18 + -8(x + 5) Reorder the terms: -2 + -1(-4 + 2x) = 18 + -8(x + 5) -2 + (-4 * -1 + 2x * -1) = 18 + -8(x + 5) -2 + (4 + -2x) = 18 + -8(x + 5) Combine like terms: -2 + 4 = 2 2 + -2x = 18 + -8(x + 5) Reorder the terms: 2 + -2x = 18 + -8(5 + x) 2 + -2x = 18 + (5 * -8 + x * -8) 2 + -2x = 18 + (-40 + -8x) Combine like terms: 18 + -40 = -22 2 + -2x = -22 + -8x Solving 2 + -2x = -22 + -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. 2 + -2x + 8x = -22 + -8x + 8x Combine like terms: -2x + 8x = 6x 2 + 6x = -22 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 6x = -22 + 0 2 + 6x = -22 Add '-2' to each side of the equation. 2 + -2 + 6x = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -22 + -2 6x = -22 + -2 Combine like terms: -22 + -2 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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