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Simplifying -12 + 4x + -6 = 7 + -1x Reorder the terms: -12 + -6 + 4x = 7 + -1x Combine like terms: -12 + -6 = -18 -18 + 4x = 7 + -1x Solving -18 + 4x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18 + 4x + x = 7 + -1x + x Combine like terms: 4x + x = 5x -18 + 5x = 7 + -1x + x Combine like terms: -1x + x = 0 -18 + 5x = 7 + 0 -18 + 5x = 7 Add '18' to each side of the equation. -18 + 18 + 5x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 7 + 18 5x = 7 + 18 Combine like terms: 7 + 18 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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