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Simplifying 12x + -7 = 5(x + 7) Reorder the terms: -7 + 12x = 5(x + 7) Reorder the terms: -7 + 12x = 5(7 + x) -7 + 12x = (7 * 5 + x * 5) -7 + 12x = (35 + 5x) Solving -7 + 12x = 35 + 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. -7 + 12x + -5x = 35 + 5x + -5x Combine like terms: 12x + -5x = 7x -7 + 7x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 7x = 35 + 0 -7 + 7x = 35 Add '7' to each side of the equation. -7 + 7 + 7x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 35 + 7 7x = 35 + 7 Combine like terms: 35 + 7 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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