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Simplifying 7(x + -4) + -7 = 5x + 7 Reorder the terms: 7(-4 + x) + -7 = 5x + 7 (-4 * 7 + x * 7) + -7 = 5x + 7 (-28 + 7x) + -7 = 5x + 7 Reorder the terms: -28 + -7 + 7x = 5x + 7 Combine like terms: -28 + -7 = -35 -35 + 7x = 5x + 7 Reorder the terms: -35 + 7x = 7 + 5x Solving -35 + 7x = 7 + 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. -35 + 7x + -5x = 7 + 5x + -5x Combine like terms: 7x + -5x = 2x -35 + 2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 2x = 7 + 0 -35 + 2x = 7 Add '35' to each side of the equation. -35 + 35 + 2x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 7 + 35 2x = 7 + 35 Combine like terms: 7 + 35 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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