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Simplifying 6x + -10 = -5x + 45 Reorder the terms: -10 + 6x = -5x + 45 Reorder the terms: -10 + 6x = 45 + -5x Solving -10 + 6x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + 6x + 5x = 45 + -5x + 5x Combine like terms: 6x + 5x = 11x -10 + 11x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 11x = 45 + 0 -10 + 11x = 45 Add '10' to each side of the equation. -10 + 10 + 11x = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 45 + 10 11x = 45 + 10 Combine like terms: 45 + 10 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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