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Simplifying 2x + 7 + -3x + -12 = 2x + -6 Reorder the terms: 7 + -12 + 2x + -3x = 2x + -6 Combine like terms: 7 + -12 = -5 -5 + 2x + -3x = 2x + -6 Combine like terms: 2x + -3x = -1x -5 + -1x = 2x + -6 Reorder the terms: -5 + -1x = -6 + 2x Solving -5 + -1x = -6 + 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. -5 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x -5 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -3x = -6 + 0 -5 + -3x = -6 Add '5' to each side of the equation. -5 + 5 + -3x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -6 + 5 -3x = -6 + 5 Combine like terms: -6 + 5 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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