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Simplifying 3(x + 7) = 5(x + -13) Reorder the terms: 3(7 + x) = 5(x + -13) (7 * 3 + x * 3) = 5(x + -13) (21 + 3x) = 5(x + -13) Reorder the terms: 21 + 3x = 5(-13 + x) 21 + 3x = (-13 * 5 + x * 5) 21 + 3x = (-65 + 5x) Solving 21 + 3x = -65 + 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. 21 + 3x + -5x = -65 + 5x + -5x Combine like terms: 3x + -5x = -2x 21 + -2x = -65 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -2x = -65 + 0 21 + -2x = -65 Add '-21' to each side of the equation. 21 + -21 + -2x = -65 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -65 + -21 -2x = -65 + -21 Combine like terms: -65 + -21 = -86 -2x = -86 Divide each side by '-2'. x = 43 Simplifying x = 43
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