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Simplifying 9(x + 2) + -6 = 3x + -7 + 4x Reorder the terms: 9(2 + x) + -6 = 3x + -7 + 4x (2 * 9 + x * 9) + -6 = 3x + -7 + 4x (18 + 9x) + -6 = 3x + -7 + 4x Reorder the terms: 18 + -6 + 9x = 3x + -7 + 4x Combine like terms: 18 + -6 = 12 12 + 9x = 3x + -7 + 4x Reorder the terms: 12 + 9x = -7 + 3x + 4x Combine like terms: 3x + 4x = 7x 12 + 9x = -7 + 7x Solving 12 + 9x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 9x + -7x = -7 + 7x + -7x Combine like terms: 9x + -7x = 2x 12 + 2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 2x = -7 + 0 12 + 2x = -7 Add '-12' to each side of the equation. 12 + -12 + 2x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -7 + -12 2x = -7 + -12 Combine like terms: -7 + -12 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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