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Simplifying -40(8 + -1x) = 4(x + 10) (8 * -40 + -1x * -40) = 4(x + 10) (-320 + 40x) = 4(x + 10) Reorder the terms: -320 + 40x = 4(10 + x) -320 + 40x = (10 * 4 + x * 4) -320 + 40x = (40 + 4x) Solving -320 + 40x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -320 + 40x + -4x = 40 + 4x + -4x Combine like terms: 40x + -4x = 36x -320 + 36x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -320 + 36x = 40 + 0 -320 + 36x = 40 Add '320' to each side of the equation. -320 + 320 + 36x = 40 + 320 Combine like terms: -320 + 320 = 0 0 + 36x = 40 + 320 36x = 40 + 320 Combine like terms: 40 + 320 = 360 36x = 360 Divide each side by '36'. x = 10 Simplifying x = 10
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