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Simplifying -7x + -40 = -12x + 45 Reorder the terms: -40 + -7x = -12x + 45 Reorder the terms: -40 + -7x = 45 + -12x Solving -40 + -7x = 45 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -40 + -7x + 12x = 45 + -12x + 12x Combine like terms: -7x + 12x = 5x -40 + 5x = 45 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + 5x = 45 + 0 -40 + 5x = 45 Add '40' to each side of the equation. -40 + 40 + 5x = 45 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = 45 + 40 5x = 45 + 40 Combine like terms: 45 + 40 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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