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Simplifying 7x + 6(3 + 4) = 12x + 7 Combine like terms: 3 + 4 = 7 7x + 6(7) = 12x + 7 Multiply 6 * 7 7x + 42 = 12x + 7 Reorder the terms: 42 + 7x = 12x + 7 Reorder the terms: 42 + 7x = 7 + 12x Solving 42 + 7x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 7x + -12x = 7 + 12x + -12x Combine like terms: 7x + -12x = -5x 42 + -5x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -5x = 7 + 0 42 + -5x = 7 Add '-42' to each side of the equation. 42 + -42 + -5x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 7 + -42 -5x = 7 + -42 Combine like terms: 7 + -42 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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