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Simplifying -3(x + -20) + 7(15 + -1x) + 5(x + -8) + 20 = 0 Reorder the terms: -3(-20 + x) + 7(15 + -1x) + 5(x + -8) + 20 = 0 (-20 * -3 + x * -3) + 7(15 + -1x) + 5(x + -8) + 20 = 0 (60 + -3x) + 7(15 + -1x) + 5(x + -8) + 20 = 0 60 + -3x + (15 * 7 + -1x * 7) + 5(x + -8) + 20 = 0 60 + -3x + (105 + -7x) + 5(x + -8) + 20 = 0 Reorder the terms: 60 + -3x + 105 + -7x + 5(-8 + x) + 20 = 0 60 + -3x + 105 + -7x + (-8 * 5 + x * 5) + 20 = 0 60 + -3x + 105 + -7x + (-40 + 5x) + 20 = 0 Reorder the terms: 60 + 105 + -40 + 20 + -3x + -7x + 5x = 0 Combine like terms: 60 + 105 = 165 165 + -40 + 20 + -3x + -7x + 5x = 0 Combine like terms: 165 + -40 = 125 125 + 20 + -3x + -7x + 5x = 0 Combine like terms: 125 + 20 = 145 145 + -3x + -7x + 5x = 0 Combine like terms: -3x + -7x = -10x 145 + -10x + 5x = 0 Combine like terms: -10x + 5x = -5x 145 + -5x = 0 Solving 145 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + -5x = 0 + -145 Combine like terms: 145 + -145 = 0 0 + -5x = 0 + -145 -5x = 0 + -145 Combine like terms: 0 + -145 = -145 -5x = -145 Divide each side by '-5'. x = 29 Simplifying x = 29
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