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Simplifying 48(x + 7) = 36(x + 7) Reorder the terms: 48(7 + x) = 36(x + 7) (7 * 48 + x * 48) = 36(x + 7) (336 + 48x) = 36(x + 7) Reorder the terms: 336 + 48x = 36(7 + x) 336 + 48x = (7 * 36 + x * 36) 336 + 48x = (252 + 36x) Solving 336 + 48x = 252 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 336 + 48x + -36x = 252 + 36x + -36x Combine like terms: 48x + -36x = 12x 336 + 12x = 252 + 36x + -36x Combine like terms: 36x + -36x = 0 336 + 12x = 252 + 0 336 + 12x = 252 Add '-336' to each side of the equation. 336 + -336 + 12x = 252 + -336 Combine like terms: 336 + -336 = 0 0 + 12x = 252 + -336 12x = 252 + -336 Combine like terms: 252 + -336 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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