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Simplifying 5x + 4x + -15 = 45 + -6x Reorder the terms: -15 + 5x + 4x = 45 + -6x Combine like terms: 5x + 4x = 9x -15 + 9x = 45 + -6x Solving -15 + 9x = 45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 9x + 6x = 45 + -6x + 6x Combine like terms: 9x + 6x = 15x -15 + 15x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 15x = 45 + 0 -15 + 15x = 45 Add '15' to each side of the equation. -15 + 15 + 15x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 45 + 15 15x = 45 + 15 Combine like terms: 45 + 15 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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