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Simplifying 6(x + 7) = 27 + 3x Reorder the terms: 6(7 + x) = 27 + 3x (7 * 6 + x * 6) = 27 + 3x (42 + 6x) = 27 + 3x Solving 42 + 6x = 27 + 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 = 27 + 3x + -3x Combine like terms: 6x + -3x = 3x 42 + 3x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 3x = 27 + 0 42 + 3x = 27 Add '-42' to each side of the equation. 42 + -42 + 3x = 27 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 27 + -42 3x = 27 + -42 Combine like terms: 27 + -42 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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