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Simplifying 7x + 6x + -3x + -45 = 15x Reorder the terms: -45 + 7x + 6x + -3x = 15x Combine like terms: 7x + 6x = 13x -45 + 13x + -3x = 15x Combine like terms: 13x + -3x = 10x -45 + 10x = 15x Solving -45 + 10x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -45 + 10x + -15x = 15x + -15x Combine like terms: 10x + -15x = -5x -45 + -5x = 15x + -15x Combine like terms: 15x + -15x = 0 -45 + -5x = 0 Add '45' to each side of the equation. -45 + 45 + -5x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 0 + 45 -5x = 0 + 45 Combine like terms: 0 + 45 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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