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Simplifying 3x + 2 = -12 + -6x + 5 Reorder the terms: 2 + 3x = -12 + -6x + 5 Reorder the terms: 2 + 3x = -12 + 5 + -6x Combine like terms: -12 + 5 = -7 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 = 9x 2 + 9x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 9x = -7 + 0 2 + 9x = -7 Add '-2' to each side of the equation. 2 + -2 + 9x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = -7 + -2 9x = -7 + -2 Combine like terms: -7 + -2 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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