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Simplifying -4(x + 7) = -5(x + 8) Reorder the terms: -4(7 + x) = -5(x + 8) (7 * -4 + x * -4) = -5(x + 8) (-28 + -4x) = -5(x + 8) Reorder the terms: -28 + -4x = -5(8 + x) -28 + -4x = (8 * -5 + x * -5) -28 + -4x = (-40 + -5x) Solving -28 + -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. -28 + -4x + 5x = -40 + -5x + 5x Combine like terms: -4x + 5x = 1x -28 + 1x = -40 + -5x + 5x Combine like terms: -5x + 5x = 0 -28 + 1x = -40 + 0 -28 + 1x = -40 Add '28' to each side of the equation. -28 + 28 + 1x = -40 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -40 + 28 1x = -40 + 28 Combine like terms: -40 + 28 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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