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Simplifying 2(3x + 8) + -3(x + -2) = 9x + -1(4x + -6) Reorder the terms: 2(8 + 3x) + -3(x + -2) = 9x + -1(4x + -6) (8 * 2 + 3x * 2) + -3(x + -2) = 9x + -1(4x + -6) (16 + 6x) + -3(x + -2) = 9x + -1(4x + -6) Reorder the terms: 16 + 6x + -3(-2 + x) = 9x + -1(4x + -6) 16 + 6x + (-2 * -3 + x * -3) = 9x + -1(4x + -6) 16 + 6x + (6 + -3x) = 9x + -1(4x + -6) Reorder the terms: 16 + 6 + 6x + -3x = 9x + -1(4x + -6) Combine like terms: 16 + 6 = 22 22 + 6x + -3x = 9x + -1(4x + -6) Combine like terms: 6x + -3x = 3x 22 + 3x = 9x + -1(4x + -6) Reorder the terms: 22 + 3x = 9x + -1(-6 + 4x) 22 + 3x = 9x + (-6 * -1 + 4x * -1) 22 + 3x = 9x + (6 + -4x) 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 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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