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Simplifying -4(x + 1) = 5(x + -8) Reorder the terms: -4(1 + x) = 5(x + -8) (1 * -4 + x * -4) = 5(x + -8) (-4 + -4x) = 5(x + -8) Reorder the terms: -4 + -4x = 5(-8 + x) -4 + -4x = (-8 * 5 + x * 5) -4 + -4x = (-40 + 5x) Solving -4 + -4x = -40 + 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. -4 + -4x + -5x = -40 + 5x + -5x Combine like terms: -4x + -5x = -9x -4 + -9x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -9x = -40 + 0 -4 + -9x = -40 Add '4' to each side of the equation. -4 + 4 + -9x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -40 + 4 -9x = -40 + 4 Combine like terms: -40 + 4 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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