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Simplifying 3x + 5x + -8 = -2(x + -6) Reorder the terms: -8 + 3x + 5x = -2(x + -6) Combine like terms: 3x + 5x = 8x -8 + 8x = -2(x + -6) Reorder the terms: -8 + 8x = -2(-6 + x) -8 + 8x = (-6 * -2 + x * -2) -8 + 8x = (12 + -2x) Solving -8 + 8x = 12 + -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 + 8x + 2x = 12 + -2x + 2x Combine like terms: 8x + 2x = 10x -8 + 10x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 10x = 12 + 0 -8 + 10x = 12 Add '8' to each side of the equation. -8 + 8 + 10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 12 + 8 10x = 12 + 8 Combine like terms: 12 + 8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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