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Simplifying -45 + 6x = -2x + 35 Reorder the terms: -45 + 6x = 35 + -2x Solving -45 + 6x = 35 + -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. -45 + 6x + 2x = 35 + -2x + 2x Combine like terms: 6x + 2x = 8x -45 + 8x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 -45 + 8x = 35 + 0 -45 + 8x = 35 Add '45' to each side of the equation. -45 + 45 + 8x = 35 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = 35 + 45 8x = 35 + 45 Combine like terms: 35 + 45 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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