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Simplifying x + -4x + -5 = 6x + 15 Reorder the terms: -5 + x + -4x = 6x + 15 Combine like terms: x + -4x = -3x -5 + -3x = 6x + 15 Reorder the terms: -5 + -3x = 15 + 6x Solving -5 + -3x = 15 + 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. -5 + -3x + -6x = 15 + 6x + -6x Combine like terms: -3x + -6x = -9x -5 + -9x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -9x = 15 + 0 -5 + -9x = 15 Add '5' to each side of the equation. -5 + 5 + -9x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 15 + 5 -9x = 15 + 5 Combine like terms: 15 + 5 = 20 -9x = 20 Divide each side by '-9'. x = -2.222222222 Simplifying x = -2.222222222
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