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Simplifying 5x + -45 = 2x + -9 Reorder the terms: -45 + 5x = 2x + -9 Reorder the terms: -45 + 5x = -9 + 2x Solving -45 + 5x = -9 + 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 + 5x + -2x = -9 + 2x + -2x Combine like terms: 5x + -2x = 3x -45 + 3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 3x = -9 + 0 -45 + 3x = -9 Add '45' to each side of the equation. -45 + 45 + 3x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -9 + 45 3x = -9 + 45 Combine like terms: -9 + 45 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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