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Simplifying 20(7x + 8) = 22(x + -5) Reorder the terms: 20(8 + 7x) = 22(x + -5) (8 * 20 + 7x * 20) = 22(x + -5) (160 + 140x) = 22(x + -5) Reorder the terms: 160 + 140x = 22(-5 + x) 160 + 140x = (-5 * 22 + x * 22) 160 + 140x = (-110 + 22x) Solving 160 + 140x = -110 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 160 + 140x + -22x = -110 + 22x + -22x Combine like terms: 140x + -22x = 118x 160 + 118x = -110 + 22x + -22x Combine like terms: 22x + -22x = 0 160 + 118x = -110 + 0 160 + 118x = -110 Add '-160' to each side of the equation. 160 + -160 + 118x = -110 + -160 Combine like terms: 160 + -160 = 0 0 + 118x = -110 + -160 118x = -110 + -160 Combine like terms: -110 + -160 = -270 118x = -270 Divide each side by '118'. x = -2.288135593 Simplifying x = -2.288135593
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