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Simplifying 5x + -12 + -3x = 7x + -2 + -1x Reorder the terms: -12 + 5x + -3x = 7x + -2 + -1x Combine like terms: 5x + -3x = 2x -12 + 2x = 7x + -2 + -1x Reorder the terms: -12 + 2x = -2 + 7x + -1x Combine like terms: 7x + -1x = 6x -12 + 2x = -2 + 6x Solving -12 + 2x = -2 + 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. -12 + 2x + -6x = -2 + 6x + -6x Combine like terms: 2x + -6x = -4x -12 + -4x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -4x = -2 + 0 -12 + -4x = -2 Add '12' to each side of the equation. -12 + 12 + -4x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -2 + 12 -4x = -2 + 12 Combine like terms: -2 + 12 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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