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Simplifying 4 + 6x + -7 = 12x + 5 + -2x Reorder the terms: 4 + -7 + 6x = 12x + 5 + -2x Combine like terms: 4 + -7 = -3 -3 + 6x = 12x + 5 + -2x Reorder the terms: -3 + 6x = 5 + 12x + -2x Combine like terms: 12x + -2x = 10x -3 + 6x = 5 + 10x Solving -3 + 6x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 6x + -10x = 5 + 10x + -10x Combine like terms: 6x + -10x = -4x -3 + -4x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -4x = 5 + 0 -3 + -4x = 5 Add '3' to each side of the equation. -3 + 3 + -4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 5 + 3 -4x = 5 + 3 Combine like terms: 5 + 3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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