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Simplifying 9(x + 1) + 6 = 2(x + 3) Reorder the terms: 9(1 + x) + 6 = 2(x + 3) (1 * 9 + x * 9) + 6 = 2(x + 3) (9 + 9x) + 6 = 2(x + 3) Reorder the terms: 9 + 6 + 9x = 2(x + 3) Combine like terms: 9 + 6 = 15 15 + 9x = 2(x + 3) Reorder the terms: 15 + 9x = 2(3 + x) 15 + 9x = (3 * 2 + x * 2) 15 + 9x = (6 + 2x) Solving 15 + 9x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 9x + -2x = 6 + 2x + -2x Combine like terms: 9x + -2x = 7x 15 + 7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 7x = 6 + 0 15 + 7x = 6 Add '-15' to each side of the equation. 15 + -15 + 7x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 6 + -15 7x = 6 + -15 Combine like terms: 6 + -15 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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