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Simplifying 16(x + 9) + -6 = 10(x + 6) Reorder the terms: 16(9 + x) + -6 = 10(x + 6) (9 * 16 + x * 16) + -6 = 10(x + 6) (144 + 16x) + -6 = 10(x + 6) Reorder the terms: 144 + -6 + 16x = 10(x + 6) Combine like terms: 144 + -6 = 138 138 + 16x = 10(x + 6) Reorder the terms: 138 + 16x = 10(6 + x) 138 + 16x = (6 * 10 + x * 10) 138 + 16x = (60 + 10x) Solving 138 + 16x = 60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 138 + 16x + -10x = 60 + 10x + -10x Combine like terms: 16x + -10x = 6x 138 + 6x = 60 + 10x + -10x Combine like terms: 10x + -10x = 0 138 + 6x = 60 + 0 138 + 6x = 60 Add '-138' to each side of the equation. 138 + -138 + 6x = 60 + -138 Combine like terms: 138 + -138 = 0 0 + 6x = 60 + -138 6x = 60 + -138 Combine like terms: 60 + -138 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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