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Simplifying 5x + -40 = 10x + -45 Reorder the terms: -40 + 5x = 10x + -45 Reorder the terms: -40 + 5x = -45 + 10x Solving -40 + 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. -40 + 5x + -10x = -45 + 10x + -10x Combine like terms: 5x + -10x = -5x -40 + -5x = -45 + 10x + -10x Combine like terms: 10x + -10x = 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 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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