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Simplifying 6(x + 7) = 3x + 31 Reorder the terms: 6(7 + x) = 3x + 31 (7 * 6 + x * 6) = 3x + 31 (42 + 6x) = 3x + 31 Reorder the terms: 42 + 6x = 31 + 3x Solving 42 + 6x = 31 + 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 = 31 + 3x + -3x Combine like terms: 6x + -3x = 3x 42 + 3x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 3x = 31 + 0 42 + 3x = 31 Add '-42' to each side of the equation. 42 + -42 + 3x = 31 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 31 + -42 3x = 31 + -42 Combine like terms: 31 + -42 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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