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Simplifying 8x + -1(7 + -5x) = 5(4x + -12) 8x + (7 * -1 + -5x * -1) = 5(4x + -12) 8x + (-7 + 5x) = 5(4x + -12) Reorder the terms: -7 + 8x + 5x = 5(4x + -12) Combine like terms: 8x + 5x = 13x -7 + 13x = 5(4x + -12) Reorder the terms: -7 + 13x = 5(-12 + 4x) -7 + 13x = (-12 * 5 + 4x * 5) -7 + 13x = (-60 + 20x) Solving -7 + 13x = -60 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -7 + 13x + -20x = -60 + 20x + -20x Combine like terms: 13x + -20x = -7x -7 + -7x = -60 + 20x + -20x Combine like terms: 20x + -20x = 0 -7 + -7x = -60 + 0 -7 + -7x = -60 Add '7' to each side of the equation. -7 + 7 + -7x = -60 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -60 + 7 -7x = -60 + 7 Combine like terms: -60 + 7 = -53 -7x = -53 Divide each side by '-7'. x = 7.571428571 Simplifying x = 7.571428571
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