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Simplifying -89 = -2x + -5(x + 8) Reorder the terms: -89 = -2x + -5(8 + x) -89 = -2x + (8 * -5 + x * -5) -89 = -2x + (-40 + -5x) Reorder the terms: -89 = -40 + -2x + -5x Combine like terms: -2x + -5x = -7x -89 = -40 + -7x Solving -89 = -40 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -89 + 7x = -40 + -7x + 7x Combine like terms: -7x + 7x = 0 -89 + 7x = -40 + 0 -89 + 7x = -40 Add '89' to each side of the equation. -89 + 89 + 7x = -40 + 89 Combine like terms: -89 + 89 = 0 0 + 7x = -40 + 89 7x = -40 + 89 Combine like terms: -40 + 89 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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