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Simplifying 2(3x + 8) + -3(x + -2) = 9x + -4x + -6 Reorder the terms: 2(8 + 3x) + -3(x + -2) = 9x + -4x + -6 (8 * 2 + 3x * 2) + -3(x + -2) = 9x + -4x + -6 (16 + 6x) + -3(x + -2) = 9x + -4x + -6 Reorder the terms: 16 + 6x + -3(-2 + x) = 9x + -4x + -6 16 + 6x + (-2 * -3 + x * -3) = 9x + -4x + -6 16 + 6x + (6 + -3x) = 9x + -4x + -6 Reorder the terms: 16 + 6 + 6x + -3x = 9x + -4x + -6 Combine like terms: 16 + 6 = 22 22 + 6x + -3x = 9x + -4x + -6 Combine like terms: 6x + -3x = 3x 22 + 3x = 9x + -4x + -6 Reorder the terms: 22 + 3x = -6 + 9x + -4x Combine like terms: 9x + -4x = 5x 22 + 3x = -6 + 5x Solving 22 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x 22 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -2x = -6 + 0 22 + -2x = -6 Add '-22' to each side of the equation. 22 + -22 + -2x = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = -6 + -22 -2x = -6 + -22 Combine like terms: -6 + -22 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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