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Simplifying 7(7 + -5x) = 3(4 + x) (7 * 7 + -5x * 7) = 3(4 + x) (49 + -35x) = 3(4 + x) 49 + -35x = (4 * 3 + x * 3) 49 + -35x = (12 + 3x) Solving 49 + -35x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 49 + -35x + -3x = 12 + 3x + -3x Combine like terms: -35x + -3x = -38x 49 + -38x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + -38x = 12 + 0 49 + -38x = 12 Add '-49' to each side of the equation. 49 + -49 + -38x = 12 + -49 Combine like terms: 49 + -49 = 0 0 + -38x = 12 + -49 -38x = 12 + -49 Combine like terms: 12 + -49 = -37 -38x = -37 Divide each side by '-38'. x = 0.9736842105 Simplifying x = 0.9736842105
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