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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 = 45 45 + -40 + 20 + 3x + -7x + 5x = 0 Combine like terms: 45 + -40 = 5 5 + 20 + 3x + -7x + 5x = 0 Combine like terms: 5 + 20 = 25 25 + 3x + -7x + 5x = 0 Combine like terms: 3x + -7x = -4x 25 + -4x + 5x = 0 Combine like terms: -4x + 5x = 1x 25 + 1x = 0 Solving 25 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 0 + -25 1x = 0 + -25 Combine like terms: 0 + -25 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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