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Simplifying -6 + -3x + 12 = -2x + 7 Reorder the terms: -6 + 12 + -3x = -2x + 7 Combine like terms: -6 + 12 = 6 6 + -3x = -2x + 7 Reorder the terms: 6 + -3x = 7 + -2x Solving 6 + -3x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -3x + 2x = 7 + -2x + 2x Combine like terms: -3x + 2x = -1x 6 + -1x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -1x = 7 + 0 6 + -1x = 7 Add '-6' to each side of the equation. 6 + -6 + -1x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 7 + -6 -1x = 7 + -6 Combine like terms: 7 + -6 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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