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Simplifying 3x + 2 + -6x = -1x + -15 + 8 + -5x Reorder the terms: 2 + 3x + -6x = -1x + -15 + 8 + -5x Combine like terms: 3x + -6x = -3x 2 + -3x = -1x + -15 + 8 + -5x Reorder the terms: 2 + -3x = -15 + 8 + -1x + -5x Combine like terms: -15 + 8 = -7 2 + -3x = -7 + -1x + -5x Combine like terms: -1x + -5x = -6x 2 + -3x = -7 + -6x Solving 2 + -3x = -7 + -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. 2 + -3x + 6x = -7 + -6x + 6x Combine like terms: -3x + 6x = 3x 2 + 3x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 3x = -7 + 0 2 + 3x = -7 Add '-2' to each side of the equation. 2 + -2 + 3x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -7 + -2 3x = -7 + -2 Combine like terms: -7 + -2 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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