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Simplifying 6x + -5 + -2x + -7 = -7 + 3 + -4x Reorder the terms: -5 + -7 + 6x + -2x = -7 + 3 + -4x Combine like terms: -5 + -7 = -12 -12 + 6x + -2x = -7 + 3 + -4x Combine like terms: 6x + -2x = 4x -12 + 4x = -7 + 3 + -4x Combine like terms: -7 + 3 = -4 -12 + 4x = -4 + -4x Solving -12 + 4x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 4x + 4x = -4 + -4x + 4x Combine like terms: 4x + 4x = 8x -12 + 8x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 8x = -4 + 0 -12 + 8x = -4 Add '12' to each side of the equation. -12 + 12 + 8x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -4 + 12 8x = -4 + 12 Combine like terms: -4 + 12 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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