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Simplifying 7(x + -7) + 4 = 5(x + -7) Reorder the terms: 7(-7 + x) + 4 = 5(x + -7) (-7 * 7 + x * 7) + 4 = 5(x + -7) (-49 + 7x) + 4 = 5(x + -7) Reorder the terms: -49 + 4 + 7x = 5(x + -7) Combine like terms: -49 + 4 = -45 -45 + 7x = 5(x + -7) Reorder the terms: -45 + 7x = 5(-7 + x) -45 + 7x = (-7 * 5 + x * 5) -45 + 7x = (-35 + 5x) Solving -45 + 7x = -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. -45 + 7x + -5x = -35 + 5x + -5x Combine like terms: 7x + -5x = 2x -45 + 2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 2x = -35 + 0 -45 + 2x = -35 Add '45' to each side of the equation. -45 + 45 + 2x = -35 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = -35 + 45 2x = -35 + 45 Combine like terms: -35 + 45 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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