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