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Simplifying 3(x + 7) = 4(x + -5) Reorder the terms: 3(7 + x) = 4(x + -5) (7 * 3 + x * 3) = 4(x + -5) (21 + 3x) = 4(x + -5) Reorder the terms: 21 + 3x = 4(-5 + x) 21 + 3x = (-5 * 4 + x * 4) 21 + 3x = (-20 + 4x) Solving 21 + 3x = -20 + 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. 21 + 3x + -4x = -20 + 4x + -4x Combine like terms: 3x + -4x = -1x 21 + -1x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -1x = -20 + 0 21 + -1x = -20 Add '-21' to each side of the equation. 21 + -21 + -1x = -20 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -20 + -21 -1x = -20 + -21 Combine like terms: -20 + -21 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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