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Simplifying 10 + 7x = 6 + 9(x + 12) Reorder the terms: 10 + 7x = 6 + 9(12 + x) 10 + 7x = 6 + (12 * 9 + x * 9) 10 + 7x = 6 + (108 + 9x) Combine like terms: 6 + 108 = 114 10 + 7x = 114 + 9x Solving 10 + 7x = 114 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 7x + -9x = 114 + 9x + -9x Combine like terms: 7x + -9x = -2x 10 + -2x = 114 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + -2x = 114 + 0 10 + -2x = 114 Add '-10' to each side of the equation. 10 + -10 + -2x = 114 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 114 + -10 -2x = 114 + -10 Combine like terms: 114 + -10 = 104 -2x = 104 Divide each side by '-2'. x = -52 Simplifying x = -52
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