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Simplifying 3x + -8 + 2x = -2(x + -3) Reorder the terms: -8 + 3x + 2x = -2(x + -3) Combine like terms: 3x + 2x = 5x -8 + 5x = -2(x + -3) Reorder the terms: -8 + 5x = -2(-3 + x) -8 + 5x = (-3 * -2 + x * -2) -8 + 5x = (6 + -2x) Solving -8 + 5x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x -8 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 7x = 6 + 0 -8 + 7x = 6 Add '8' to each side of the equation. -8 + 8 + 7x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 6 + 8 7x = 6 + 8 Combine like terms: 6 + 8 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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