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Simplifying 4x + x + -5 = 10x + 45 Reorder the terms: -5 + 4x + x = 10x + 45 Combine like terms: 4x + x = 5x -5 + 5x = 10x + 45 Reorder the terms: -5 + 5x = 45 + 10x Solving -5 + 5x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 5x + -10x = 45 + 10x + -10x Combine like terms: 5x + -10x = -5x -5 + -5x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -5x = 45 + 0 -5 + -5x = 45 Add '5' to each side of the equation. -5 + 5 + -5x = 45 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 45 + 5 -5x = 45 + 5 Combine like terms: 45 + 5 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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