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Simplifying 8x + -41 = 5(x + -7) Reorder the terms: -41 + 8x = 5(x + -7) Reorder the terms: -41 + 8x = 5(-7 + x) -41 + 8x = (-7 * 5 + x * 5) -41 + 8x = (-35 + 5x) Solving -41 + 8x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -41 + 8x + -5x = -35 + 5x + -5x Combine like terms: 8x + -5x = 3x -41 + 3x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -41 + 3x = -35 + 0 -41 + 3x = -35 Add '41' to each side of the equation. -41 + 41 + 3x = -35 + 41 Combine like terms: -41 + 41 = 0 0 + 3x = -35 + 41 3x = -35 + 41 Combine like terms: -35 + 41 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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