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Simplifying 4x + -7 + -4x + -1 = -12x + -2 + 10x + 6 Reorder the terms: -7 + -1 + 4x + -4x = -12x + -2 + 10x + 6 Combine like terms: -7 + -1 = -8 -8 + 4x + -4x = -12x + -2 + 10x + 6 Combine like terms: 4x + -4x = 0 -8 + 0 = -12x + -2 + 10x + 6 -8 = -12x + -2 + 10x + 6 Reorder the terms: -8 = -2 + 6 + -12x + 10x Combine like terms: -2 + 6 = 4 -8 = 4 + -12x + 10x Combine like terms: -12x + 10x = -2x -8 = 4 + -2x Solving -8 = 4 + -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. -8 + 2x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 2x = 4 + 0 -8 + 2x = 4 Add '8' to each side of the equation. -8 + 8 + 2x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 4 + 8 2x = 4 + 8 Combine like terms: 4 + 8 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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