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Simplifying 3x + -7 = 8 + 9(x + 2) Reorder the terms: -7 + 3x = 8 + 9(x + 2) Reorder the terms: -7 + 3x = 8 + 9(2 + x) -7 + 3x = 8 + (2 * 9 + x * 9) -7 + 3x = 8 + (18 + 9x) Combine like terms: 8 + 18 = 26 -7 + 3x = 26 + 9x Solving -7 + 3x = 26 + 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. -7 + 3x + -9x = 26 + 9x + -9x Combine like terms: 3x + -9x = -6x -7 + -6x = 26 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -6x = 26 + 0 -7 + -6x = 26 Add '7' to each side of the equation. -7 + 7 + -6x = 26 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 26 + 7 -6x = 26 + 7 Combine like terms: 26 + 7 = 33 -6x = 33 Divide each side by '-6'. x = -5.5 Simplifying x = -5.5
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