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Simplifying -1(x + 40) = -1(5x + -8) Reorder the terms: -1(40 + x) = -1(5x + -8) (40 * -1 + x * -1) = -1(5x + -8) (-40 + -1x) = -1(5x + -8) Reorder the terms: -40 + -1x = -1(-8 + 5x) -40 + -1x = (-8 * -1 + 5x * -1) -40 + -1x = (8 + -5x) Solving -40 + -1x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -40 + -1x + 5x = 8 + -5x + 5x Combine like terms: -1x + 5x = 4x -40 + 4x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -40 + 4x = 8 + 0 -40 + 4x = 8 Add '40' to each side of the equation. -40 + 40 + 4x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 8 + 40 4x = 8 + 40 Combine like terms: 8 + 40 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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