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Simplifying 6(x + 7) = 3(x + 2) Reorder the terms: 6(7 + x) = 3(x + 2) (7 * 6 + x * 6) = 3(x + 2) (42 + 6x) = 3(x + 2) Reorder the terms: 42 + 6x = 3(2 + x) 42 + 6x = (2 * 3 + x * 3) 42 + 6x = (6 + 3x) Solving 42 + 6x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x 42 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 3x = 6 + 0 42 + 3x = 6 Add '-42' to each side of the equation. 42 + -42 + 3x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 6 + -42 3x = 6 + -42 Combine like terms: 6 + -42 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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