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Simplifying -5(x + 8) + -45 = 6 + -56 Reorder the terms: -5(8 + x) + -45 = 6 + -56 (8 * -5 + x * -5) + -45 = 6 + -56 (-40 + -5x) + -45 = 6 + -56 Reorder the terms: -40 + -45 + -5x = 6 + -56 Combine like terms: -40 + -45 = -85 -85 + -5x = 6 + -56 Combine like terms: 6 + -56 = -50 -85 + -5x = -50 Solving -85 + -5x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -5x = -50 + 85 Combine like terms: -85 + 85 = 0 0 + -5x = -50 + 85 -5x = -50 + 85 Combine like terms: -50 + 85 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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