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Simplifying 12 * 4(x + -7) = 12 * 3(x + 7) Reorder the terms: 12 * 4(-7 + x) = 12 * 3(x + 7) Multiply 12 * 4 48(-7 + x) = 12 * 3(x + 7) (-7 * 48 + x * 48) = 12 * 3(x + 7) (-336 + 48x) = 12 * 3(x + 7) Reorder the terms: -336 + 48x = 12 * 3(7 + x) Multiply 12 * 3 -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 = 588 12x = 588 Divide each side by '12'. x = 49 Simplifying x = 49
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