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Simplifying 6x + -15 = 5x + 6 + -2x Reorder the terms: -15 + 6x = 5x + 6 + -2x Reorder the terms: -15 + 6x = 6 + 5x + -2x Combine like terms: 5x + -2x = 3x -15 + 6x = 6 + 3x Solving -15 + 6x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x -15 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 3x = 6 + 0 -15 + 3x = 6 Add '15' to each side of the equation. -15 + 15 + 3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 6 + 15 3x = 6 + 15 Combine like terms: 6 + 15 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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