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Simplifying 7(x + -8) + 22 = 5(x + -6) Reorder the terms: 7(-8 + x) + 22 = 5(x + -6) (-8 * 7 + x * 7) + 22 = 5(x + -6) (-56 + 7x) + 22 = 5(x + -6) Reorder the terms: -56 + 22 + 7x = 5(x + -6) Combine like terms: -56 + 22 = -34 -34 + 7x = 5(x + -6) Reorder the terms: -34 + 7x = 5(-6 + x) -34 + 7x = (-6 * 5 + x * 5) -34 + 7x = (-30 + 5x) Solving -34 + 7x = -30 + 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. -34 + 7x + -5x = -30 + 5x + -5x Combine like terms: 7x + -5x = 2x -34 + 2x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 2x = -30 + 0 -34 + 2x = -30 Add '34' to each side of the equation. -34 + 34 + 2x = -30 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = -30 + 34 2x = -30 + 34 Combine like terms: -30 + 34 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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