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Simplifying 2 + -8(x + 5) = 2 + -2(x + -4) Reorder the terms: 2 + -8(5 + x) = 2 + -2(x + -4) 2 + (5 * -8 + x * -8) = 2 + -2(x + -4) 2 + (-40 + -8x) = 2 + -2(x + -4) Combine like terms: 2 + -40 = -38 -38 + -8x = 2 + -2(x + -4) Reorder the terms: -38 + -8x = 2 + -2(-4 + x) -38 + -8x = 2 + (-4 * -2 + x * -2) -38 + -8x = 2 + (8 + -2x) Combine like terms: 2 + 8 = 10 -38 + -8x = 10 + -2x Solving -38 + -8x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + -8x + 2x = 10 + -2x + 2x Combine like terms: -8x + 2x = -6x -38 + -6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + -6x = 10 + 0 -38 + -6x = 10 Add '38' to each side of the equation. -38 + 38 + -6x = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = 10 + 38 -6x = 10 + 38 Combine like terms: 10 + 38 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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