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Simplifying 2x + -4x + -12 = 2x + 7 + -12 Reorder the terms: -12 + 2x + -4x = 2x + 7 + -12 Combine like terms: 2x + -4x = -2x -12 + -2x = 2x + 7 + -12 Reorder the terms: -12 + -2x = 7 + -12 + 2x Combine like terms: 7 + -12 = -5 -12 + -2x = -5 + 2x Solving -12 + -2x = -5 + 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. -12 + -2x + -2x = -5 + 2x + -2x Combine like terms: -2x + -2x = -4x -12 + -4x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -4x = -5 + 0 -12 + -4x = -5 Add '12' to each side of the equation. -12 + 12 + -4x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -5 + 12 -4x = -5 + 12 Combine like terms: -5 + 12 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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