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Simplifying 5(x + -7) + 8 = -3(4x + -8) Reorder the terms: 5(-7 + x) + 8 = -3(4x + -8) (-7 * 5 + x * 5) + 8 = -3(4x + -8) (-35 + 5x) + 8 = -3(4x + -8) Reorder the terms: -35 + 8 + 5x = -3(4x + -8) Combine like terms: -35 + 8 = -27 -27 + 5x = -3(4x + -8) Reorder the terms: -27 + 5x = -3(-8 + 4x) -27 + 5x = (-8 * -3 + 4x * -3) -27 + 5x = (24 + -12x) Solving -27 + 5x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -27 + 5x + 12x = 24 + -12x + 12x Combine like terms: 5x + 12x = 17x -27 + 17x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -27 + 17x = 24 + 0 -27 + 17x = 24 Add '27' to each side of the equation. -27 + 27 + 17x = 24 + 27 Combine like terms: -27 + 27 = 0 0 + 17x = 24 + 27 17x = 24 + 27 Combine like terms: 24 + 27 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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