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Simplifying -3x + 5(x + -8) = -20 + 7x Reorder the terms: -3x + 5(-8 + x) = -20 + 7x -3x + (-8 * 5 + x * 5) = -20 + 7x -3x + (-40 + 5x) = -20 + 7x Reorder the terms: -40 + -3x + 5x = -20 + 7x Combine like terms: -3x + 5x = 2x -40 + 2x = -20 + 7x Solving -40 + 2x = -20 + 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. -40 + 2x + -7x = -20 + 7x + -7x Combine like terms: 2x + -7x = -5x -40 + -5x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + -5x = -20 + 0 -40 + -5x = -20 Add '40' to each side of the equation. -40 + 40 + -5x = -20 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = -20 + 40 -5x = -20 + 40 Combine like terms: -20 + 40 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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