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Simplifying 2(6x + -8) + -3x = 2 + -1(3x + -6) Reorder the terms: 2(-8 + 6x) + -3x = 2 + -1(3x + -6) (-8 * 2 + 6x * 2) + -3x = 2 + -1(3x + -6) (-16 + 12x) + -3x = 2 + -1(3x + -6) Combine like terms: 12x + -3x = 9x -16 + 9x = 2 + -1(3x + -6) Reorder the terms: -16 + 9x = 2 + -1(-6 + 3x) -16 + 9x = 2 + (-6 * -1 + 3x * -1) -16 + 9x = 2 + (6 + -3x) Combine like terms: 2 + 6 = 8 -16 + 9x = 8 + -3x Solving -16 + 9x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -16 + 9x + 3x = 8 + -3x + 3x Combine like terms: 9x + 3x = 12x -16 + 12x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + 12x = 8 + 0 -16 + 12x = 8 Add '16' to each side of the equation. -16 + 16 + 12x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 8 + 16 12x = 8 + 16 Combine like terms: 8 + 16 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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