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Simplifying 14x + -45 = 6x + -15 + 3x Reorder the terms: -45 + 14x = 6x + -15 + 3x Reorder the terms: -45 + 14x = -15 + 6x + 3x Combine like terms: 6x + 3x = 9x -45 + 14x = -15 + 9x Solving -45 + 14x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -45 + 14x + -9x = -15 + 9x + -9x Combine like terms: 14x + -9x = 5x -45 + 5x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -45 + 5x = -15 + 0 -45 + 5x = -15 Add '45' to each side of the equation. -45 + 45 + 5x = -15 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = -15 + 45 5x = -15 + 45 Combine like terms: -15 + 45 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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