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Simplifying 10(x + 6) + 6(x + 6) + 7 = 0 Reorder the terms: 10(6 + x) + 6(x + 6) + 7 = 0 (6 * 10 + x * 10) + 6(x + 6) + 7 = 0 (60 + 10x) + 6(x + 6) + 7 = 0 Reorder the terms: 60 + 10x + 6(6 + x) + 7 = 0 60 + 10x + (6 * 6 + x * 6) + 7 = 0 60 + 10x + (36 + 6x) + 7 = 0 Reorder the terms: 60 + 36 + 7 + 10x + 6x = 0 Combine like terms: 60 + 36 = 96 96 + 7 + 10x + 6x = 0 Combine like terms: 96 + 7 = 103 103 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x 103 + 16x = 0 Solving 103 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-103' to each side of the equation. 103 + -103 + 16x = 0 + -103 Combine like terms: 103 + -103 = 0 0 + 16x = 0 + -103 16x = 0 + -103 Combine like terms: 0 + -103 = -103 16x = -103 Divide each side by '16'. x = -6.4375 Simplifying x = -6.4375
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