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Simplifying 7 = 6(x + 6) + -5 Reorder the terms: 7 = 6(6 + x) + -5 7 = (6 * 6 + x * 6) + -5 7 = (36 + 6x) + -5 Reorder the terms: 7 = 36 + -5 + 6x Combine like terms: 36 + -5 = 31 7 = 31 + 6x Solving 7 = 31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -6x = 31 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -6x = 31 + 0 7 + -6x = 31 Add '-7' to each side of the equation. 7 + -7 + -6x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 31 + -7 -6x = 31 + -7 Combine like terms: 31 + -7 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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