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Simplifying 5x + -6 = -2(3x + -8) Reorder the terms: -6 + 5x = -2(3x + -8) Reorder the terms: -6 + 5x = -2(-8 + 3x) -6 + 5x = (-8 * -2 + 3x * -2) -6 + 5x = (16 + -6x) Solving -6 + 5x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 5x + 6x = 16 + -6x + 6x Combine like terms: 5x + 6x = 11x -6 + 11x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 11x = 16 + 0 -6 + 11x = 16 Add '6' to each side of the equation. -6 + 6 + 11x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 16 + 6 11x = 16 + 6 Combine like terms: 16 + 6 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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