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Simplifying 7(x + -7) = 5x + -4 Reorder the terms: 7(-7 + x) = 5x + -4 (-7 * 7 + x * 7) = 5x + -4 (-49 + 7x) = 5x + -4 Reorder the terms: -49 + 7x = -4 + 5x Solving -49 + 7x = -4 + 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. -49 + 7x + -5x = -4 + 5x + -5x Combine like terms: 7x + -5x = 2x -49 + 2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -49 + 2x = -4 + 0 -49 + 2x = -4 Add '49' to each side of the equation. -49 + 49 + 2x = -4 + 49 Combine like terms: -49 + 49 = 0 0 + 2x = -4 + 49 2x = -4 + 49 Combine like terms: -4 + 49 = 45 2x = 45 Divide each side by '2'. x = 22.5 Simplifying x = 22.5
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