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Simplifying 3(x + 7) = 7(x + -7) Reorder the terms: 3(7 + x) = 7(x + -7) (7 * 3 + x * 3) = 7(x + -7) (21 + 3x) = 7(x + -7) Reorder the terms: 21 + 3x = 7(-7 + x) 21 + 3x = (-7 * 7 + x * 7) 21 + 3x = (-49 + 7x) Solving 21 + 3x = -49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 3x + -7x = -49 + 7x + -7x Combine like terms: 3x + -7x = -4x 21 + -4x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -4x = -49 + 0 21 + -4x = -49 Add '-21' to each side of the equation. 21 + -21 + -4x = -49 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = -49 + -21 -4x = -49 + -21 Combine like terms: -49 + -21 = -70 -4x = -70 Divide each side by '-4'. x = 17.5 Simplifying x = 17.5
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