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Simplifying 7(x + -7) = 4(x + 2) Reorder the terms: 7(-7 + x) = 4(x + 2) (-7 * 7 + x * 7) = 4(x + 2) (-49 + 7x) = 4(x + 2) Reorder the terms: -49 + 7x = 4(2 + x) -49 + 7x = (2 * 4 + x * 4) -49 + 7x = (8 + 4x) Solving -49 + 7x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -49 + 7x + -4x = 8 + 4x + -4x Combine like terms: 7x + -4x = 3x -49 + 3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -49 + 3x = 8 + 0 -49 + 3x = 8 Add '49' to each side of the equation. -49 + 49 + 3x = 8 + 49 Combine like terms: -49 + 49 = 0 0 + 3x = 8 + 49 3x = 8 + 49 Combine like terms: 8 + 49 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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